# Quizbank/Bell/152874216230

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Bell152874216230

### Bell:Bell1:V0

Bell152874216230

1) You solitaire deck uses ♠ ♣ and your answer cards are 4 and 5. You select 4♠, 5♣, and 5. If the questions were Q♠ and Q♣. Which of the following wins?

a) none of these are true
b) K and K♣
c) K♠ and K♣
d) K and K♠
e) two of these are true

2) If you play the solitaire game 3 times, you will on average win ___ times.

a) 3
b) 5
c) 2
d) 4
e) 1

3) Your solitaire deck uses ♠ ♣ and your answer cards are 4 and 5. You select 4♠, 5♣, and 5. If the questions were Q♠ and Q♣, you would__

a) lose 3 points
b) win 3 points
c) lose 1 point
d) be disqualified for cheating
e) win 1 point

4) If you play the solitaire game 6 times, you will on average lose ___ times.

a) 4
b) 3
c) 6
d) 2
e) 5

5) Recall that only 4.6% of the outcomes for a normal distribution lie outside of two standard deviations from the mean, and approximate the binomial distribution as normal for large numbers. If the variance is σ2=np(1-p) where n is the number of trials and p=.11 is the probability of a positive outcome for 40 trials, roughly 98% of the outcomes will be smaller than approximately __

a) 6
b) 16
c) 8
d) 12
e) 22

6) For a binomial distribution with n trials, the variance is σ2=np(1-p). If 40 trials are made and p=.11, the expected number of positive outcomes is__. Make the approximation that this binomial distribution is approximately a Gaussian (normal) distribution.

a) 4.4
b) 1.1
c) 3.3
d) 2.2
e) 9.9

7) For a binomial distribution with n trials, the variance is σ2=np(1-p). If 90 trials are observed, then 68% of the time the observed number of positive outcomes will fall within ±___ of the expected value if p=.11 is the probability of a positive outcome. Make the approximation that this binomial distribution is approximately a Gaussian (normal) distribution).

a) 6
b) 1
c) 9
d) 18
e) 3

8) For a binomial distribution with n trials, the variance is σ2=np(1-p). If 90 trials are made and p=.11, the expected number of positive outcomes is__. Make the approximation that this binomial distribution is approximately a Gaussian (normal) distribution.

a) 3.3
b) 1.1
c) 2.2
d) 9.9

9) If the hypotenuse of a 60°-30° right triangle has a length of 1 what is the length of the longer side?

a) ${\displaystyle {\tfrac {1}{\sqrt {2}}}}$
b) ${\displaystyle {\tfrac {\sqrt {3}}{2}}}$
c) ${\displaystyle {\tfrac {3}{4}}}$
d) ${\displaystyle {\tfrac {1}{2}}}$
e) ${\displaystyle {\tfrac {1}{4}}}$

10) The light is linearly polarized, the electric field is oriented ________to the direction of motion

a) all of these are possible
b) at 45 degrees
c) perpendicular
d) parallel

### KEY:Bell:Bell1:V0

Bell152874216230

1) You solitaire deck uses ♠ ♣ and your answer cards are 4 and 5. You select 4♠, 5♣, and 5. If the questions were Q♠ and Q♣. Which of the following wins?

-a) none of these are true
-b) K and K♣
-c) K♠ and K♣
-d) K and K♠
+e) two of these are true

2) If you play the solitaire game 3 times, you will on average win ___ times.

-a) 3
-b) 5
+c) 2
-d) 4
-e) 1

3) Your solitaire deck uses ♠ ♣ and your answer cards are 4 and 5. You select 4♠, 5♣, and 5. If the questions were Q♠ and Q♣, you would__

-a) lose 3 points
-b) win 3 points
-c) lose 1 point
-d) be disqualified for cheating
+e) win 1 point

4) If you play the solitaire game 6 times, you will on average lose ___ times.

-a) 4
-b) 3
-c) 6
+d) 2
-e) 5

5) Recall that only 4.6% of the outcomes for a normal distribution lie outside of two standard deviations from the mean, and approximate the binomial distribution as normal for large numbers. If the variance is σ2=np(1-p) where n is the number of trials and p=.11 is the probability of a positive outcome for 40 trials, roughly 98% of the outcomes will be smaller than approximately __

-a) 6
-b) 16
+c) 8
-d) 12
-e) 22

6) For a binomial distribution with n trials, the variance is σ2=np(1-p). If 40 trials are made and p=.11, the expected number of positive outcomes is__. Make the approximation that this binomial distribution is approximately a Gaussian (normal) distribution.

+a) 4.4
-b) 1.1
-c) 3.3
-d) 2.2
-e) 9.9

7) For a binomial distribution with n trials, the variance is σ2=np(1-p). If 90 trials are observed, then 68% of the time the observed number of positive outcomes will fall within ±___ of the expected value if p=.11 is the probability of a positive outcome. Make the approximation that this binomial distribution is approximately a Gaussian (normal) distribution).

-a) 6
-b) 1
-c) 9
-d) 18
+e) 3

8) For a binomial distribution with n trials, the variance is σ2=np(1-p). If 90 trials are made and p=.11, the expected number of positive outcomes is__. Make the approximation that this binomial distribution is approximately a Gaussian (normal) distribution.

-a) 3.3
-b) 1.1
-c) 2.2
+d) 9.9

9) If the hypotenuse of a 60°-30° right triangle has a length of 1 what is the length of the longer side?

-a) ${\displaystyle {\tfrac {1}{\sqrt {2}}}}$
+b) ${\displaystyle {\tfrac {\sqrt {3}}{2}}}$
-c) ${\displaystyle {\tfrac {3}{4}}}$
-d) ${\displaystyle {\tfrac {1}{2}}}$
-e) ${\displaystyle {\tfrac {1}{4}}}$

10) The light is linearly polarized, the electric field is oriented ________to the direction of motion

-a) all of these are possible
-b) at 45 degrees
+c) perpendicular
-d) parallel

### Bell:Bell1:V1

Bell152874216230

1) Recall that only 4.6% of the outcomes for a normal distribution lie outside of two standard deviations from the mean, and approximate the binomial distribution as normal for large numbers. If the variance is σ2=np(1-p) where n is the number of trials and p=.11 is the probability of a positive outcome for 40 trials, roughly 98% of the outcomes will be smaller than approximately __

a) 6
b) 22
c) 8
d) 12
e) 16

2) For a binomial distribution with n trials, the variance is σ2=np(1-p). If 90 trials are observed, then 68% of the time the observed number of positive outcomes will fall within ±___ of the expected value if p=.11 is the probability of a positive outcome. Make the approximation that this binomial distribution is approximately a Gaussian (normal) distribution).

a) 9
b) 3
c) 1
d) 18
e) 6

3) For a binomial distribution with n trials, the variance is σ2=np(1-p). If 90 trials are made and p=.11, the expected number of positive outcomes is__. Make the approximation that this binomial distribution is approximately a Gaussian (normal) distribution.

a) 2.2
b) 3.3
c) 9.9
d) 1.1

4) The light is linearly polarized, the electric field is oriented ________to the direction of motion

a) perpendicular
b) parallel
c) at 45 degrees
d) all of these are possible

5) If you play the solitaire game 6 times, you will on average lose ___ times.

a) 4
b) 2
c) 6
d) 3
e) 5

6) Your solitaire deck uses ♠ ♣ and your answer cards are 4 and 5. You select 4♠, 5♣, and 5. If the questions were Q♠ and Q♣, you would__

a) win 1 point
b) win 3 points
c) lose 1 point
d) lose 3 points
e) be disqualified for cheating

7) You solitaire deck uses ♠ ♣ and your answer cards are 4 and 5. You select 4♠, 5♣, and 5. If the questions were Q♠ and Q♣. Which of the following wins?

a) none of these are true
b) K and K♠
c) K and K♣
d) K♠ and K♣
e) two of these are true

8) If the hypotenuse of a 60°-30° right triangle has a length of 1 what is the length of the longer side?

a) ${\displaystyle {\tfrac {1}{2}}}$
b) ${\displaystyle {\tfrac {3}{4}}}$
c) ${\displaystyle {\tfrac {1}{4}}}$
d) ${\displaystyle {\tfrac {1}{\sqrt {2}}}}$
e) ${\displaystyle {\tfrac {\sqrt {3}}{2}}}$

9) For a binomial distribution with n trials, the variance is σ2=np(1-p). If 40 trials are made and p=.11, the expected number of positive outcomes is__. Make the approximation that this binomial distribution is approximately a Gaussian (normal) distribution.

a) 4.4
b) 1.1
c) 9.9
d) 2.2
e) 3.3

10) If you play the solitaire game 3 times, you will on average win ___ times.

a) 5
b) 4
c) 2
d) 1
e) 3

### KEY:Bell:Bell1:V1

Bell152874216230

1) Recall that only 4.6% of the outcomes for a normal distribution lie outside of two standard deviations from the mean, and approximate the binomial distribution as normal for large numbers. If the variance is σ2=np(1-p) where n is the number of trials and p=.11 is the probability of a positive outcome for 40 trials, roughly 98% of the outcomes will be smaller than approximately __

-a) 6
-b) 22
+c) 8
-d) 12
-e) 16

2) For a binomial distribution with n trials, the variance is σ2=np(1-p). If 90 trials are observed, then 68% of the time the observed number of positive outcomes will fall within ±___ of the expected value if p=.11 is the probability of a positive outcome. Make the approximation that this binomial distribution is approximately a Gaussian (normal) distribution).

-a) 9
+b) 3
-c) 1
-d) 18
-e) 6

3) For a binomial distribution with n trials, the variance is σ2=np(1-p). If 90 trials are made and p=.11, the expected number of positive outcomes is__. Make the approximation that this binomial distribution is approximately a Gaussian (normal) distribution.

-a) 2.2
-b) 3.3
+c) 9.9
-d) 1.1

4) The light is linearly polarized, the electric field is oriented ________to the direction of motion

+a) perpendicular
-b) parallel
-c) at 45 degrees
-d) all of these are possible

5) If you play the solitaire game 6 times, you will on average lose ___ times.

-a) 4
+b) 2
-c) 6
-d) 3
-e) 5

6) Your solitaire deck uses ♠ ♣ and your answer cards are 4 and 5. You select 4♠, 5♣, and 5. If the questions were Q♠ and Q♣, you would__

+a) win 1 point
-b) win 3 points
-c) lose 1 point
-d) lose 3 points
-e) be disqualified for cheating

7) You solitaire deck uses ♠ ♣ and your answer cards are 4 and 5. You select 4♠, 5♣, and 5. If the questions were Q♠ and Q♣. Which of the following wins?

-a) none of these are true
-b) K and K♠
-c) K and K♣
-d) K♠ and K♣
+e) two of these are true

8) If the hypotenuse of a 60°-30° right triangle has a length of 1 what is the length of the longer side?

-a) ${\displaystyle {\tfrac {1}{2}}}$
-b) ${\displaystyle {\tfrac {3}{4}}}$
-c) ${\displaystyle {\tfrac {1}{4}}}$
-d) ${\displaystyle {\tfrac {1}{\sqrt {2}}}}$
+e) ${\displaystyle {\tfrac {\sqrt {3}}{2}}}$

9) For a binomial distribution with n trials, the variance is σ2=np(1-p). If 40 trials are made and p=.11, the expected number of positive outcomes is__. Make the approximation that this binomial distribution is approximately a Gaussian (normal) distribution.

+a) 4.4
-b) 1.1
-c) 9.9
-d) 2.2
-e) 3.3

10) If you play the solitaire game 3 times, you will on average win ___ times.

-a) 5
-b) 4
+c) 2
-d) 1
-e) 3

### Bell:Bell1:V2

Bell152874216230

1) Your solitaire deck uses ♠ ♣ and your answer cards are 4 and 5. You select 4♠, 5♣, and 5. If the questions were Q♠ and Q♣, you would__

a) be disqualified for cheating
b) lose 1 point
c) win 1 point
d) lose 3 points
e) win 3 points

2) For a binomial distribution with n trials, the variance is σ2=np(1-p). If 90 trials are observed, then 68% of the time the observed number of positive outcomes will fall within ±___ of the expected value if p=.11 is the probability of a positive outcome. Make the approximation that this binomial distribution is approximately a Gaussian (normal) distribution).

a) 6
b) 18
c) 9
d) 3
e) 1

3) If you play the solitaire game 3 times, you will on average win ___ times.

a) 3
b) 4
c) 1
d) 2
e) 5

4) The light is linearly polarized, the electric field is oriented ________to the direction of motion

a) at 45 degrees
b) all of these are possible
c) perpendicular
d) parallel

5) If the hypotenuse of a 60°-30° right triangle has a length of 1 what is the length of the longer side?

a) ${\displaystyle {\tfrac {1}{2}}}$
b) ${\displaystyle {\tfrac {\sqrt {3}}{2}}}$
c) ${\displaystyle {\tfrac {3}{4}}}$
d) ${\displaystyle {\tfrac {1}{\sqrt {2}}}}$
e) ${\displaystyle {\tfrac {1}{4}}}$

6) For a binomial distribution with n trials, the variance is σ2=np(1-p). If 90 trials are made and p=.11, the expected number of positive outcomes is__. Make the approximation that this binomial distribution is approximately a Gaussian (normal) distribution.

a) 3.3
b) 2.2
c) 1.1
d) 9.9

7) You solitaire deck uses ♠ ♣ and your answer cards are 4 and 5. You select 4♠, 5♣, and 5. If the questions were Q♠ and Q♣. Which of the following wins?

a) none of these are true
b) K and K♣
c) K♠ and K♣
d) K and K♠
e) two of these are true

8) Recall that only 4.6% of the outcomes for a normal distribution lie outside of two standard deviations from the mean, and approximate the binomial distribution as normal for large numbers. If the variance is σ2=np(1-p) where n is the number of trials and p=.11 is the probability of a positive outcome for 40 trials, roughly 98% of the outcomes will be smaller than approximately __

a) 6
b) 22
c) 16
d) 12
e) 8

9) If you play the solitaire game 6 times, you will on average lose ___ times.

a) 2
b) 4
c) 5
d) 6
e) 3

10) For a binomial distribution with n trials, the variance is σ2=np(1-p). If 40 trials are made and p=.11, the expected number of positive outcomes is__. Make the approximation that this binomial distribution is approximately a Gaussian (normal) distribution.

a) 1.1
b) 4.4
c) 3.3
d) 9.9
e) 2.2

### KEY:Bell:Bell1:V2

Bell152874216230

1) Your solitaire deck uses ♠ ♣ and your answer cards are 4 and 5. You select 4♠, 5♣, and 5. If the questions were Q♠ and Q♣, you would__

-a) be disqualified for cheating
-b) lose 1 point
+c) win 1 point
-d) lose 3 points
-e) win 3 points

2) For a binomial distribution with n trials, the variance is σ2=np(1-p). If 90 trials are observed, then 68% of the time the observed number of positive outcomes will fall within ±___ of the expected value if p=.11 is the probability of a positive outcome. Make the approximation that this binomial distribution is approximately a Gaussian (normal) distribution).

-a) 6
-b) 18
-c) 9
+d) 3
-e) 1

3) If you play the solitaire game 3 times, you will on average win ___ times.

-a) 3
-b) 4
-c) 1
+d) 2
-e) 5

4) The light is linearly polarized, the electric field is oriented ________to the direction of motion

-a) at 45 degrees
-b) all of these are possible
+c) perpendicular
-d) parallel

5) If the hypotenuse of a 60°-30° right triangle has a length of 1 what is the length of the longer side?

-a) ${\displaystyle {\tfrac {1}{2}}}$
+b) ${\displaystyle {\tfrac {\sqrt {3}}{2}}}$
-c) ${\displaystyle {\tfrac {3}{4}}}$
-d) ${\displaystyle {\tfrac {1}{\sqrt {2}}}}$
-e) ${\displaystyle {\tfrac {1}{4}}}$

6) For a binomial distribution with n trials, the variance is σ2=np(1-p). If 90 trials are made and p=.11, the expected number of positive outcomes is__. Make the approximation that this binomial distribution is approximately a Gaussian (normal) distribution.

-a) 3.3
-b) 2.2
-c) 1.1
+d) 9.9

7) You solitaire deck uses ♠ ♣ and your answer cards are 4 and 5. You select 4♠, 5♣, and 5. If the questions were Q♠ and Q♣. Which of the following wins?

-a) none of these are true
-b) K and K♣
-c) K♠ and K♣
-d) K and K♠
+e) two of these are true

8) Recall that only 4.6% of the outcomes for a normal distribution lie outside of two standard deviations from the mean, and approximate the binomial distribution as normal for large numbers. If the variance is σ2=np(1-p) where n is the number of trials and p=.11 is the probability of a positive outcome for 40 trials, roughly 98% of the outcomes will be smaller than approximately __

-a) 6
-b) 22
-c) 16
-d) 12
+e) 8

9) If you play the solitaire game 6 times, you will on average lose ___ times.

+a) 2
-b) 4
-c) 5
-d) 6
-e) 3

10) For a binomial distribution with n trials, the variance is σ2=np(1-p). If 40 trials are made and p=.11, the expected number of positive outcomes is__. Make the approximation that this binomial distribution is approximately a Gaussian (normal) distribution.

-a) 1.1
+b) 4.4
-c) 3.3
-d) 9.9
-e) 2.2

### Bell:Bell2:V0

Bell152874216230

1) The light is linearly polarized, the electric field is oriented ________to the direction of motion

a) perpendicular
b) at 45 degrees
c) all of these are possible
d) parallel

2) The β-strategy is a new strategy introduced in the couples version of the card game that calls for

a) None of these describes the β-strategy
b) Alice and Bob to always answer "even"
c) Alice and Bob to sometimes give different answers (one "even" while the other "odd")
d) Alice and Bob to always answer "odd"
e) Alice and Bob to always give different answers (one "even" while the other "odd")

3) How much do the partners win or lose if Alice answers 4♠ to K♠ while Bob answers 5♠ to A♠?

a) lose Q points
b) win 1 point
c) lose 3 points
d) no points awarded or lost

4) is it cheating for one of the partners to change mind in after communication ceases?

a) It is cheating and the game should be terminated if the partners are caught doing this
b) It is cheating, but fortunately the penalty allows partners to do it
c) It is not cheating, but allowing to partners to do so violates the spirit of the game as a Bell's test experiment simulation.
d) It is not cheating, and allowing to partners to do this is in the spirit of the game as a Bell's test experiment simulation.
5) This figure is associated with
a) Diffraction observed in light so faint that photons seemed to have no mechanism to interact with each other (observed in 1909)
b) The transfer of energy and momentum of a high energy photon of a nearly free electron.
c) Evidence presented in 1800 that light is a wave.
d) A system similar to the one that led to the 1901 proposal that light energy is quantized as integral multiples of hf (except that Plank assumed that the walls were conductive.)
e) Photons striking metal and ejecting electrons (photo-electric effect explained in 1905)

6) A photon is polarized at 5° when it encounters a filter oriented at 50°. What is the probability that it is blocked?

a) 1
b) 1/2
c) 3/4
d) 0
e) 1/4

7) In the Phet lab for photoelectric effect, how was the electron's kinetic energy measured?

a) measuring spin
b) deflecting the electron with a magnetic field
c) stopping the electron with an applied voltage
d) measuring polarization
e) measuring both spin and polarization
8) If a number is randomly selected from the set {2,3,4,5}, what is the probability that it is both even and prime?
a) 5/4
b) 3/4
c) 1/4
d) 0
e) 1/2
f) 1
9) Calculate the quantum correlation:
C(♠,) = ?
Assume the dots represent five observations.
a) +1/5
b) −1/5
c) 0
d) +1
e) +2/5
f) −2/5
10) Calculate the measured probability:
P(♠,) = ?
Assume the dots represent five observations.
a) 3/4
b) 2/4=1/2
c) 2/5
d) 5/6
e) 3/5

### KEY:Bell:Bell2:V0

Bell152874216230

1) The light is linearly polarized, the electric field is oriented ________to the direction of motion

+a) perpendicular
-b) at 45 degrees
-c) all of these are possible
-d) parallel

2) The β-strategy is a new strategy introduced in the couples version of the card game that calls for

-a) None of these describes the β-strategy
-b) Alice and Bob to always answer "even"
-c) Alice and Bob to sometimes give different answers (one "even" while the other "odd")
-d) Alice and Bob to always answer "odd"
+e) Alice and Bob to always give different answers (one "even" while the other "odd")

3) How much do the partners win or lose if Alice answers 4♠ to K♠ while Bob answers 5♠ to A♠?

+a) lose Q points
-b) win 1 point
-c) lose 3 points
-d) no points awarded or lost

4) is it cheating for one of the partners to change mind in after communication ceases?

-a) It is cheating and the game should be terminated if the partners are caught doing this
-b) It is cheating, but fortunately the penalty allows partners to do it
-c) It is not cheating, but allowing to partners to do so violates the spirit of the game as a Bell's test experiment simulation.
+d) It is not cheating, and allowing to partners to do this is in the spirit of the game as a Bell's test experiment simulation.
5) This figure is associated with
-a) Diffraction observed in light so faint that photons seemed to have no mechanism to interact with each other (observed in 1909)
-b) The transfer of energy and momentum of a high energy photon of a nearly free electron.
+c) Evidence presented in 1800 that light is a wave.
-d) A system similar to the one that led to the 1901 proposal that light energy is quantized as integral multiples of hf (except that Plank assumed that the walls were conductive.)
-e) Photons striking metal and ejecting electrons (photo-electric effect explained in 1905)

6) A photon is polarized at 5° when it encounters a filter oriented at 50°. What is the probability that it is blocked?

-a) 1
+b) 1/2
-c) 3/4
-d) 0
-e) 1/4

7) In the Phet lab for photoelectric effect, how was the electron's kinetic energy measured?

-a) measuring spin
-b) deflecting the electron with a magnetic field
+c) stopping the electron with an applied voltage
-d) measuring polarization
-e) measuring both spin and polarization
8) If a number is randomly selected from the set {2,3,4,5}, what is the probability that it is both even and prime?
-a) 5/4
-b) 3/4
+c) 1/4
-d) 0
-e) 1/2
-f) 1
9) Calculate the quantum correlation:
C(♠,) = ?
Assume the dots represent five observations.
+a) +1/5
-b) −1/5
-c) 0
-d) +1
-e) +2/5
-f) −2/5
10) Calculate the measured probability:
P(♠,) = ?
Assume the dots represent five observations.
-a) 3/4
-b) 2/4=1/2
-c) 2/5
-d) 5/6
+e) 3/5

### Bell:Bell2:V1

Bell152874216230

1) The β-strategy is a new strategy introduced in the couples version of the card game that calls for

a) Alice and Bob to always answer "even"
b) Alice and Bob to sometimes give different answers (one "even" while the other "odd")
c) None of these describes the β-strategy
d) Alice and Bob to always give different answers (one "even" while the other "odd")
e) Alice and Bob to always answer "odd"

2) is it cheating for one of the partners to change mind in after communication ceases?

a) It is cheating, but fortunately the penalty allows partners to do it
b) It is cheating and the game should be terminated if the partners are caught doing this
c) It is not cheating, but allowing to partners to do so violates the spirit of the game as a Bell's test experiment simulation.
d) It is not cheating, and allowing to partners to do this is in the spirit of the game as a Bell's test experiment simulation.

3) In the Phet lab for photoelectric effect, how was the electron's kinetic energy measured?

a) stopping the electron with an applied voltage
b) deflecting the electron with a magnetic field
c) measuring both spin and polarization
d) measuring polarization
e) measuring spin

4) A photon is polarized at 5° when it encounters a filter oriented at 50°. What is the probability that it is blocked?

a) 1/4
b) 3/4
c) 1
d) 1/2
e) 0
5) This figure is associated with
a) A system similar to the one that led to the 1901 proposal that light energy is quantized as integral multiples of hf (except that Plank assumed that the walls were conductive.)
b) Photons striking metal and ejecting electrons (photo-electric effect explained in 1905)
c) Diffraction observed in light so faint that photons seemed to have no mechanism to interact with each other (observed in 1909)
d) Evidence presented in 1800 that light is a wave.
e) The transfer of energy and momentum of a high energy photon of a nearly free electron.

6) The light is linearly polarized, the electric field is oriented ________to the direction of motion

a) at 45 degrees
b) parallel
c) all of these are possible
d) perpendicular
7) Calculate the quantum correlation:
C(♠,) = ?
Assume the dots represent five observations.
a) 0
b) −2/5
c) +1/5
d) +1
e) +2/5
f) −1/5
8) If a number is randomly selected from the set {2,3,4,5}, what is the probability that it is both even and prime?
a) 1
b) 3/4
c) 1/4
d) 0
e) 5/4
f) 1/2

9) How much do the partners win or lose if Alice answers 4♠ to K♠ while Bob answers 5♠ to A♠?

a) lose Q points
b) win 1 point
c) lose 3 points
d) no points awarded or lost
10) Calculate the measured probability:
P(♠,) = ?
Assume the dots represent five observations.
a) 2/4=1/2
b) 3/4
c) 2/5
d) 3/5
e) 5/6

### KEY:Bell:Bell2:V1

Bell152874216230

1) The β-strategy is a new strategy introduced in the couples version of the card game that calls for

-a) Alice and Bob to always answer "even"
-b) Alice and Bob to sometimes give different answers (one "even" while the other "odd")
-c) None of these describes the β-strategy
+d) Alice and Bob to always give different answers (one "even" while the other "odd")
-e) Alice and Bob to always answer "odd"

2) is it cheating for one of the partners to change mind in after communication ceases?

-a) It is cheating, but fortunately the penalty allows partners to do it
-b) It is cheating and the game should be terminated if the partners are caught doing this
-c) It is not cheating, but allowing to partners to do so violates the spirit of the game as a Bell's test experiment simulation.
+d) It is not cheating, and allowing to partners to do this is in the spirit of the game as a Bell's test experiment simulation.

3) In the Phet lab for photoelectric effect, how was the electron's kinetic energy measured?

+a) stopping the electron with an applied voltage
-b) deflecting the electron with a magnetic field
-c) measuring both spin and polarization
-d) measuring polarization
-e) measuring spin

4) A photon is polarized at 5° when it encounters a filter oriented at 50°. What is the probability that it is blocked?

-a) 1/4
-b) 3/4
-c) 1
+d) 1/2
-e) 0
5) This figure is associated with
-a) A system similar to the one that led to the 1901 proposal that light energy is quantized as integral multiples of hf (except that Plank assumed that the walls were conductive.)
-b) Photons striking metal and ejecting electrons (photo-electric effect explained in 1905)
-c) Diffraction observed in light so faint that photons seemed to have no mechanism to interact with each other (observed in 1909)
+d) Evidence presented in 1800 that light is a wave.
-e) The transfer of energy and momentum of a high energy photon of a nearly free electron.

6) The light is linearly polarized, the electric field is oriented ________to the direction of motion

-a) at 45 degrees
-b) parallel
-c) all of these are possible
+d) perpendicular
7) Calculate the quantum correlation:
C(♠,) = ?
Assume the dots represent five observations.
-a) 0
-b) −2/5
+c) +1/5
-d) +1
-e) +2/5
-f) −1/5
8) If a number is randomly selected from the set {2,3,4,5}, what is the probability that it is both even and prime?
-a) 1
-b) 3/4
+c) 1/4
-d) 0
-e) 5/4
-f) 1/2

9) How much do the partners win or lose if Alice answers 4♠ to K♠ while Bob answers 5♠ to A♠?

+a) lose Q points
-b) win 1 point
-c) lose 3 points
-d) no points awarded or lost
10) Calculate the measured probability:
P(♠,) = ?
Assume the dots represent five observations.
-a) 2/4=1/2
-b) 3/4
-c) 2/5
+d) 3/5
-e) 5/6

### Bell:Bell2:V2

Bell152874216230

1) The light is linearly polarized, the electric field is oriented ________to the direction of motion

a) at 45 degrees
b) parallel
c) all of these are possible
d) perpendicular

2) In the Phet lab for photoelectric effect, how was the electron's kinetic energy measured?

a) measuring both spin and polarization
b) measuring polarization
c) measuring spin
d) stopping the electron with an applied voltage
e) deflecting the electron with a magnetic field
3) This figure is associated with
a) Evidence presented in 1800 that light is a wave.
b) Photons striking metal and ejecting electrons (photo-electric effect explained in 1905)
c) Diffraction observed in light so faint that photons seemed to have no mechanism to interact with each other (observed in 1909)
d) A system similar to the one that led to the 1901 proposal that light energy is quantized as integral multiples of hf (except that Plank assumed that the walls were conductive.)
e) The transfer of energy and momentum of a high energy photon of a nearly free electron.
4) Calculate the measured probability:
P(♠,) = ?
Assume the dots represent five observations.
a) 5/6
b) 2/5
c) 3/5
d) 3/4
e) 2/4=1/2

5) The β-strategy is a new strategy introduced in the couples version of the card game that calls for

a) Alice and Bob to always answer "odd"
b) Alice and Bob to sometimes give different answers (one "even" while the other "odd")
c) Alice and Bob to always answer "even"
d) Alice and Bob to always give different answers (one "even" while the other "odd")
e) None of these describes the β-strategy
6) Calculate the quantum correlation:
C(♠,) = ?
Assume the dots represent five observations.
a) 0
b) +1/5
c) +1
d) −2/5
e) +2/5
f) −1/5

7) How much do the partners win or lose if Alice answers 4♠ to K♠ while Bob answers 5♠ to A♠?

a) win 1 point
b) lose Q points
c) lose 3 points
d) no points awarded or lost

8) is it cheating for one of the partners to change mind in after communication ceases?

a) It is cheating, but fortunately the penalty allows partners to do it
b) It is not cheating, but allowing to partners to do so violates the spirit of the game as a Bell's test experiment simulation.
c) It is cheating and the game should be terminated if the partners are caught doing this
d) It is not cheating, and allowing to partners to do this is in the spirit of the game as a Bell's test experiment simulation.
9) If a number is randomly selected from the set {2,3,4,5}, what is the probability that it is both even and prime?
a) 3/4
b) 0
c) 1/4
d) 1
e) 1/2
f) 5/4

10) A photon is polarized at 5° when it encounters a filter oriented at 50°. What is the probability that it is blocked?

a) 1/4
b) 1/2
c) 0
d) 3/4
e) 1

### KEY:Bell:Bell2:V2

Bell152874216230

1) The light is linearly polarized, the electric field is oriented ________to the direction of motion

-a) at 45 degrees
-b) parallel
-c) all of these are possible
+d) perpendicular

2) In the Phet lab for photoelectric effect, how was the electron's kinetic energy measured?

-a) measuring both spin and polarization
-b) measuring polarization
-c) measuring spin
+d) stopping the electron with an applied voltage
-e) deflecting the electron with a magnetic field
3) This figure is associated with
+a) Evidence presented in 1800 that light is a wave.
-b) Photons striking metal and ejecting electrons (photo-electric effect explained in 1905)
-c) Diffraction observed in light so faint that photons seemed to have no mechanism to interact with each other (observed in 1909)
-d) A system similar to the one that led to the 1901 proposal that light energy is quantized as integral multiples of hf (except that Plank assumed that the walls were conductive.)
-e) The transfer of energy and momentum of a high energy photon of a nearly free electron.
4) Calculate the measured probability:
P(♠,) = ?
Assume the dots represent five observations.
-a) 5/6
-b) 2/5
+c) 3/5
-d) 3/4
-e) 2/4=1/2

5) The β-strategy is a new strategy introduced in the couples version of the card game that calls for

-a) Alice and Bob to always answer "odd"
-b) Alice and Bob to sometimes give different answers (one "even" while the other "odd")
-c) Alice and Bob to always answer "even"
+d) Alice and Bob to always give different answers (one "even" while the other "odd")
-e) None of these describes the β-strategy
6) Calculate the quantum correlation:
C(♠,) = ?
Assume the dots represent five observations.
-a) 0
+b) +1/5
-c) +1
-d) −2/5
-e) +2/5
-f) −1/5

7) How much do the partners win or lose if Alice answers 4♠ to K♠ while Bob answers 5♠ to A♠?

-a) win 1 point
+b) lose Q points
-c) lose 3 points
-d) no points awarded or lost

8) is it cheating for one of the partners to change mind in after communication ceases?

-a) It is cheating, but fortunately the penalty allows partners to do it
-b) It is not cheating, but allowing to partners to do so violates the spirit of the game as a Bell's test experiment simulation.
-c) It is cheating and the game should be terminated if the partners are caught doing this
+d) It is not cheating, and allowing to partners to do this is in the spirit of the game as a Bell's test experiment simulation.
9) If a number is randomly selected from the set {2,3,4,5}, what is the probability that it is both even and prime?
-a) 3/4
-b) 0
+c) 1/4
-d) 1
-e) 1/2
-f) 5/4

10) A photon is polarized at 5° when it encounters a filter oriented at 50°. What is the probability that it is blocked?

-a) 1/4
+b) 1/2
-c) 0
-d) 3/4
-e) 1

### Bell:Bell3:V0

Bell152874216230

1) If you play the solitaire game 6 times, you will on average win ___ times.

a) 6
b) 4
c) 3
d) 2
e) 5

2) You solitaire deck uses ♠ ♣ and your answer cards are 4 and 5. You select 4♠, 5♣, and 5. If the questions were Q♠ and Q♣. Which of the following wins?

a) K and K♣
b) none of these are true
c) K♠ and K♣
d) K and K♠
e) two of these are true

3) What is the probability of success, p, for a binary distribution using a six-sided die, with success defined as either a "two" or a "three"?

a) 3/6
b) 1/6
c) 2/6
d) 5/6
e) 4/6

4) Recall that only 4.6% of the outcomes for a normal distribution lie outside of two standard deviations from the mean, and approximate the binomial distribution as normal for large numbers. If the variance is σ2=np(1-p) where n is the number of trials and p=.11 is the probability of a positive outcome for 90 trials, roughly 98% of the outcomes will be smaller than approximately __

a) 6
b) 16
c) 22
d) 8
e) 12

5) For a binomial distribution with n trials, the variance is σ2=np(1-p). If 90 trials are made and p=.11, the expected number of positive outcomes is__. Make the approximation that this binomial distribution is approximately a Gaussian (normal) distribution.

a) 1.1
b) 3.3
c) 9.9
d) 2.2

6) A local college averages 2500 new incoming students each year. Suppose the pool of potential high school graduates in the local area is so large that the probability of a given student selecting this college is small, and assume a variance of σ2 equal to p(1-p). What standard deviation would you expect in the yearly total of new enrollees, assuming nothing changes in this population from year to year?

a) 50
b) 200
c) 250
d) 150
e) 500

7) If the hypotenuse of a 45°-45° right triangle has a length of ${\displaystyle {\sqrt {2}}}$  what is the length of each side?

a) ${\displaystyle 2{\sqrt {2}}}$
b) ${\displaystyle 1}$
c) ${\displaystyle {\tfrac {1}{2}}}$
d) ${\displaystyle {\sqrt {2}}}$
e) ${\displaystyle {\tfrac {1}{\sqrt {2}}}}$

8) A mathematically pure (strictly monochromatic) __________ wave (oscillation) that is unpolarized cannot be created

a) electromagnetic
b) pendulum
c) both can be created
d) electromagnetic or pendulum

9) To create an unpolarized pendulum oscillation

a) create an elliptically polarized wave with an ε>0.2
b) create an elliptically polarized wave with an 0.2<ε<0.8
c) create an elliptically polarized wave with an ε<0.8
d) start with a linear, circular, or elliptical wave and slowly evolve to different polarizations

10) If the hypotenuse of a 60°-30° right triangle has a length of 1 what is the length of the shorter side?

a) ${\displaystyle {\tfrac {1}{4}}}$
b) ${\displaystyle {\tfrac {3}{4}}}$
c) ${\displaystyle {\tfrac {1}{2}}}$
d) ${\displaystyle {\tfrac {\sqrt {3}}{2}}}$
e) ${\displaystyle {\tfrac {1}{\sqrt {2}}}}$

11) The β-strategy is a new strategy introduced in the couples version of the card game that calls for

a) None of these describes the β-strategy
b) Alice and Bob to always answer "even"
c) Alice and Bob to always answer "odd"
d) Alice and Bob to sometimes give different answers (one "even" while the other "odd")
e) Alice and Bob to always give different answers (one "even" while the other "odd")

12) How much do the partners win or lose if Alice answers 4♠ to K♠ while Bob answers 5♠ to A♠?

a) lose 3 points
b) win 1 point
c) lose Q points
d) no points awarded or lost

13) When is the referee allowed to observe Alice and Bob?

a) While their backs are turned, but not while they are discussing strategy (phase 1)
b) never
c) The referee should carefully observe Alice and Bob all the time
d) While they are discussing strategy (phase 1), but not while their backs are turned to each other.

14) Two black bodies of are created by cutting identical small holes two large containers. The holes are oriented so that all the photons leaving one will enter the other. The objects have different temperature and different volume. Which object emits more photons per second (above a given threshold energy)?

a) No unique answer exists because two variables are involved (temperature and volume).
b) The object with the greater temperature emits more.
c) The object with the greater volume.
d) They both emit the same number of photons (since the holes are identical).

15) A photon is polarized at 10° when it encounters a filter oriented at 70°. What is the probability that it passes?

a) 0
b) 3/4
c) 1/2
d) 1/4
e) 1

16) If 1018 photons pass through a small hole in your roof every second, how many photons would pass through it if you doubled the diameter?

a) 6x1018
b) 8x1018
c) 4x1018
d) 1018
e) 2x1018

17) In the Phet lab for photoelectric effect, how was the electron's kinetic energy measured?

a) deflecting the electron with a magnetic field
b) measuring spin
c) stopping the electron with an applied voltage
d) measuring polarization
e) measuring both spin and polarization
18) Calculate the measured probability:
P(♠,) = ?
Assume the dots represent five observations.
a) 2/4=1/2
b) 2/5
c) 3/4
d) 3/5
e) 5/6
19) Calculate the probability
P(♠,)+P(♠,)+P(,) = ?
Assume the dots represent five observations.
a) 7/5
b) 5/6
c) 4/5
d) 5/4
e) 6/5
20) Calculate the measured probability:
P(♠,) = ?
Assume the dots represent five observations.
a) 2/5
b) 3/4
c) 2/4=1/2
d) 5/6
e) 3/5

### KEY:Bell:Bell3:V0

Bell152874216230

1) If you play the solitaire game 6 times, you will on average win ___ times.

-a) 6
+b) 4
-c) 3
-d) 2
-e) 5

2) You solitaire deck uses ♠ ♣ and your answer cards are 4 and 5. You select 4♠, 5♣, and 5. If the questions were Q♠ and Q♣. Which of the following wins?

-a) K and K♣
-b) none of these are true
-c) K♠ and K♣
-d) K and K♠
+e) two of these are true

3) What is the probability of success, p, for a binary distribution using a six-sided die, with success defined as either a "two" or a "three"?

-a) 3/6
-b) 1/6
+c) 2/6
-d) 5/6
-e) 4/6

4) Recall that only 4.6% of the outcomes for a normal distribution lie outside of two standard deviations from the mean, and approximate the binomial distribution as normal for large numbers. If the variance is σ2=np(1-p) where n is the number of trials and p=.11 is the probability of a positive outcome for 90 trials, roughly 98% of the outcomes will be smaller than approximately __

-a) 6
+b) 16
-c) 22
-d) 8
-e) 12

5) For a binomial distribution with n trials, the variance is σ2=np(1-p). If 90 trials are made and p=.11, the expected number of positive outcomes is__. Make the approximation that this binomial distribution is approximately a Gaussian (normal) distribution.

-a) 1.1
-b) 3.3
+c) 9.9
-d) 2.2

6) A local college averages 2500 new incoming students each year. Suppose the pool of potential high school graduates in the local area is so large that the probability of a given student selecting this college is small, and assume a variance of σ2 equal to p(1-p). What standard deviation would you expect in the yearly total of new enrollees, assuming nothing changes in this population from year to year?

+a) 50
-b) 200
-c) 250
-d) 150
-e) 500

7) If the hypotenuse of a 45°-45° right triangle has a length of ${\displaystyle {\sqrt {2}}}$  what is the length of each side?

-a) ${\displaystyle 2{\sqrt {2}}}$
-b) ${\displaystyle 1}$
-c) ${\displaystyle {\tfrac {1}{2}}}$
+d) ${\displaystyle {\sqrt {2}}}$
-e) ${\displaystyle {\tfrac {1}{\sqrt {2}}}}$

8) A mathematically pure (strictly monochromatic) __________ wave (oscillation) that is unpolarized cannot be created

-a) electromagnetic
-b) pendulum
-c) both can be created
+d) electromagnetic or pendulum

9) To create an unpolarized pendulum oscillation

-a) create an elliptically polarized wave with an ε>0.2
-b) create an elliptically polarized wave with an 0.2<ε<0.8
-c) create an elliptically polarized wave with an ε<0.8
+d) start with a linear, circular, or elliptical wave and slowly evolve to different polarizations

10) If the hypotenuse of a 60°-30° right triangle has a length of 1 what is the length of the shorter side?

-a) ${\displaystyle {\tfrac {1}{4}}}$
-b) ${\displaystyle {\tfrac {3}{4}}}$
+c) ${\displaystyle {\tfrac {1}{2}}}$
-d) ${\displaystyle {\tfrac {\sqrt {3}}{2}}}$
-e) ${\displaystyle {\tfrac {1}{\sqrt {2}}}}$

11) The β-strategy is a new strategy introduced in the couples version of the card game that calls for

-a) None of these describes the β-strategy
-b) Alice and Bob to always answer "even"
-c) Alice and Bob to always answer "odd"
-d) Alice and Bob to sometimes give different answers (one "even" while the other "odd")
+e) Alice and Bob to always give different answers (one "even" while the other "odd")

12) How much do the partners win or lose if Alice answers 4♠ to K♠ while Bob answers 5♠ to A♠?

-a) lose 3 points
-b) win 1 point
+c) lose Q points
-d) no points awarded or lost

13) When is the referee allowed to observe Alice and Bob?

+a) While their backs are turned, but not while they are discussing strategy (phase 1)
-b) never
-c) The referee should carefully observe Alice and Bob all the time
-d) While they are discussing strategy (phase 1), but not while their backs are turned to each other.

14) Two black bodies of are created by cutting identical small holes two large containers. The holes are oriented so that all the photons leaving one will enter the other. The objects have different temperature and different volume. Which object emits more photons per second (above a given threshold energy)?

-a) No unique answer exists because two variables are involved (temperature and volume).
+b) The object with the greater temperature emits more.
-c) The object with the greater volume.
-d) They both emit the same number of photons (since the holes are identical).

15) A photon is polarized at 10° when it encounters a filter oriented at 70°. What is the probability that it passes?

-a) 0
-b) 3/4
-c) 1/2
+d) 1/4
-e) 1

16) If 1018 photons pass through a small hole in your roof every second, how many photons would pass through it if you doubled the diameter?

-a) 6x1018
-b) 8x1018
+c) 4x1018
-d) 1018
-e) 2x1018

17) In the Phet lab for photoelectric effect, how was the electron's kinetic energy measured?

-a) deflecting the electron with a magnetic field
-b) measuring spin
+c) stopping the electron with an applied voltage
-d) measuring polarization
-e) measuring both spin and polarization
18) Calculate the measured probability:
P(♠,) = ?
Assume the dots represent five observations.
-a) 2/4=1/2
-b) 2/5
-c) 3/4
+d) 3/5
-e) 5/6
19) Calculate the probability
P(♠,)+P(♠,)+P(,) = ?
Assume the dots represent five observations.
+a) 7/5
-b) 5/6
-c) 4/5
-d) 5/4
-e) 6/5
20) Calculate the measured probability:
P(♠,) = ?
Assume the dots represent five observations.
+a) 2/5
-b) 3/4
-c) 2/4=1/2
-d) 5/6
-e) 3/5

### Bell:Bell3:V1

Bell152874216230

1) To create an unpolarized pendulum oscillation

a) create an elliptically polarized wave with an ε>0.2
b) start with a linear, circular, or elliptical wave and slowly evolve to different polarizations
c) create an elliptically polarized wave with an ε<0.8
d) create an elliptically polarized wave with an 0.2<ε<0.8

2) If the hypotenuse of a 60°-30° right triangle has a length of 1 what is the length of the shorter side?

a) ${\displaystyle {\tfrac {1}{2}}}$
b) ${\displaystyle {\tfrac {3}{4}}}$
c) ${\displaystyle {\tfrac {1}{4}}}$
d) ${\displaystyle {\tfrac {1}{\sqrt {2}}}}$
e) ${\displaystyle {\tfrac {\sqrt {3}}{2}}}$

3) If the hypotenuse of a 45°-45° right triangle has a length of ${\displaystyle {\sqrt {2}}}$  what is the length of each side?

a) ${\displaystyle 2{\sqrt {2}}}$
b) ${\displaystyle 1}$
c) ${\displaystyle {\tfrac {1}{\sqrt {2}}}}$
d) ${\displaystyle {\tfrac {1}{2}}}$
e) ${\displaystyle {\sqrt {2}}}$

4) You solitaire deck uses ♠ ♣ and your answer cards are 4 and 5. You select 4♠, 5♣, and 5. If the questions were Q♠ and Q♣. Which of the following wins?

a) K and K♠
b) K and K♣
c) none of these are true
d) K♠ and K♣
e) two of these are true
5) Calculate the measured probability:
P(♠,) = ?
Assume the dots represent five observations.
a) 3/5
b) 2/5
c) 5/6
d) 3/4
e) 2/4=1/2

6) Recall that only 4.6% of the outcomes for a normal distribution lie outside of two standard deviations from the mean, and approximate the binomial distribution as normal for large numbers. If the variance is σ2=np(1-p) where n is the number of trials and p=.11 is the probability of a positive outcome for 90 trials, roughly 98% of the outcomes will be smaller than approximately __

a) 12
b) 6
c) 16
d) 8
e) 22

7) What is the probability of success, p, for a binary distribution using a six-sided die, with success defined as either a "two" or a "three"?

a) 3/6
b) 2/6
c) 4/6
d) 1/6
e) 5/6

8) For a binomial distribution with n trials, the variance is σ2=np(1-p). If 90 trials are made and p=.11, the expected number of positive outcomes is__. Make the approximation that this binomial distribution is approximately a Gaussian (normal) distribution.

a) 3.3
b) 2.2
c) 9.9
d) 1.1
9) Calculate the probability
P(♠,)+P(♠,)+P(,) = ?
Assume the dots represent five observations.
a) 5/4
b) 5/6
c) 4/5
d) 6/5
e) 7/5

10) When is the referee allowed to observe Alice and Bob?

a) The referee should carefully observe Alice and Bob all the time
b) While their backs are turned, but not while they are discussing strategy (phase 1)
c) never
d) While they are discussing strategy (phase 1), but not while their backs are turned to each other.

11) Two black bodies of are created by cutting identical small holes two large containers. The holes are oriented so that all the photons leaving one will enter the other. The objects have different temperature and different volume. Which object emits more photons per second (above a given threshold energy)?

a) The object with the greater temperature emits more.
b) They both emit the same number of photons (since the holes are identical).
c) No unique answer exists because two variables are involved (temperature and volume).
d) The object with the greater volume.

12) How much do the partners win or lose if Alice answers 4♠ to K♠ while Bob answers 5♠ to A♠?

a) win 1 point
b) lose 3 points
c) no points awarded or lost
d) lose Q points

13) The β-strategy is a new strategy introduced in the couples version of the card game that calls for

a) Alice and Bob to sometimes give different answers (one "even" while the other "odd")
b) None of these describes the β-strategy
c) Alice and Bob to always answer "odd"
d) Alice and Bob to always give different answers (one "even" while the other "odd")
e) Alice and Bob to always answer "even"

14) A photon is polarized at 10° when it encounters a filter oriented at 70°. What is the probability that it passes?

a) 1/2
b) 3/4
c) 1/4
d) 0
e) 1
15) Calculate the measured probability:
P(♠,) = ?
Assume the dots represent five observations.
a) 5/6
b) 3/4
c) 3/5
d) 2/5
e) 2/4=1/2

16) If 1018 photons pass through a small hole in your roof every second, how many photons would pass through it if you doubled the diameter?

a) 2x1018
b) 1018
c) 6x1018
d) 4x1018
e) 8x1018

17) A mathematically pure (strictly monochromatic) __________ wave (oscillation) that is unpolarized cannot be created

a) pendulum
b) electromagnetic or pendulum
c) electromagnetic
d) both can be created

18) In the Phet lab for photoelectric effect, how was the electron's kinetic energy measured?

a) measuring both spin and polarization
b) stopping the electron with an applied voltage
c) measuring polarization
d) deflecting the electron with a magnetic field
e) measuring spin

19) If you play the solitaire game 6 times, you will on average win ___ times.

a) 2
b) 6
c) 5
d) 3
e) 4

20) A local college averages 2500 new incoming students each year. Suppose the pool of potential high school graduates in the local area is so large that the probability of a given student selecting this college is small, and assume a variance of σ2 equal to p(1-p). What standard deviation would you expect in the yearly total of new enrollees, assuming nothing changes in this population from year to year?

a) 50
b) 250
c) 200
d) 500
e) 150

### KEY:Bell:Bell3:V1

Bell152874216230

1) To create an unpolarized pendulum oscillation

-a) create an elliptically polarized wave with an ε>0.2
+b) start with a linear, circular, or elliptical wave and slowly evolve to different polarizations
-c) create an elliptically polarized wave with an ε<0.8
-d) create an elliptically polarized wave with an 0.2<ε<0.8

2) If the hypotenuse of a 60°-30° right triangle has a length of 1 what is the length of the shorter side?

+a) ${\displaystyle {\tfrac {1}{2}}}$
-b) ${\displaystyle {\tfrac {3}{4}}}$
-c) ${\displaystyle {\tfrac {1}{4}}}$
-d) ${\displaystyle {\tfrac {1}{\sqrt {2}}}}$
-e) ${\displaystyle {\tfrac {\sqrt {3}}{2}}}$

3) If the hypotenuse of a 45°-45° right triangle has a length of ${\displaystyle {\sqrt {2}}}$  what is the length of each side?

-a) ${\displaystyle 2{\sqrt {2}}}$
-b) ${\displaystyle 1}$
-c) ${\displaystyle {\tfrac {1}{\sqrt {2}}}}$
-d) ${\displaystyle {\tfrac {1}{2}}}$
+e) ${\displaystyle {\sqrt {2}}}$

4) You solitaire deck uses ♠ ♣ and your answer cards are 4 and 5. You select 4♠, 5♣, and 5. If the questions were Q♠ and Q♣. Which of the following wins?

-a) K and K♠
-b) K and K♣
-c) none of these are true
-d) K♠ and K♣
+e) two of these are true
5) Calculate the measured probability:
P(♠,) = ?
Assume the dots represent five observations.
+a) 3/5
-b) 2/5
-c) 5/6
-d) 3/4
-e) 2/4=1/2

6) Recall that only 4.6% of the outcomes for a normal distribution lie outside of two standard deviations from the mean, and approximate the binomial distribution as normal for large numbers. If the variance is σ2=np(1-p) where n is the number of trials and p=.11 is the probability of a positive outcome for 90 trials, roughly 98% of the outcomes will be smaller than approximately __

-a) 12
-b) 6
+c) 16
-d) 8
-e) 22

7) What is the probability of success, p, for a binary distribution using a six-sided die, with success defined as either a "two" or a "three"?

-a) 3/6
+b) 2/6
-c) 4/6
-d) 1/6
-e) 5/6

8) For a binomial distribution with n trials, the variance is σ2=np(1-p). If 90 trials are made and p=.11, the expected number of positive outcomes is__. Make the approximation that this binomial distribution is approximately a Gaussian (normal) distribution.

-a) 3.3
-b) 2.2
+c) 9.9
-d) 1.1
9) Calculate the probability
P(♠,)+P(♠,)+P(,) = ?
Assume the dots represent five observations.
-a) 5/4
-b) 5/6
-c) 4/5
-d) 6/5
+e) 7/5

10) When is the referee allowed to observe Alice and Bob?

-a) The referee should carefully observe Alice and Bob all the time
+b) While their backs are turned, but not while they are discussing strategy (phase 1)
-c) never
-d) While they are discussing strategy (phase 1), but not while their backs are turned to each other.

11) Two black bodies of are created by cutting identical small holes two large containers. The holes are oriented so that all the photons leaving one will enter the other. The objects have different temperature and different volume. Which object emits more photons per second (above a given threshold energy)?

+a) The object with the greater temperature emits more.
-b) They both emit the same number of photons (since the holes are identical).
-c) No unique answer exists because two variables are involved (temperature and volume).
-d) The object with the greater volume.

12) How much do the partners win or lose if Alice answers 4♠ to K♠ while Bob answers 5♠ to A♠?

-a) win 1 point
-b) lose 3 points
-c) no points awarded or lost
+d) lose Q points

13) The β-strategy is a new strategy introduced in the couples version of the card game that calls for

-a) Alice and Bob to sometimes give different answers (one "even" while the other "odd")
-b) None of these describes the β-strategy
-c) Alice and Bob to always answer "odd"
+d) Alice and Bob to always give different answers (one "even" while the other "odd")
-e) Alice and Bob to always answer "even"

14) A photon is polarized at 10° when it encounters a filter oriented at 70°. What is the probability that it passes?

-a) 1/2
-b) 3/4
+c) 1/4
-d) 0
-e) 1
15) Calculate the measured probability:
P(♠,) = ?
Assume the dots represent five observations.
-a) 5/6
-b) 3/4
-c) 3/5
+d) 2/5
-e) 2/4=1/2

16) If 1018 photons pass through a small hole in your roof every second, how many photons would pass through it if you doubled the diameter?

-a) 2x1018
-b) 1018
-c) 6x1018
+d) 4x1018
-e) 8x1018

17) A mathematically pure (strictly monochromatic) __________ wave (oscillation) that is unpolarized cannot be created

-a) pendulum
+b) electromagnetic or pendulum
-c) electromagnetic
-d) both can be created

18) In the Phet lab for photoelectric effect, how was the electron's kinetic energy measured?

-a) measuring both spin and polarization
+b) stopping the electron with an applied voltage
-c) measuring polarization
-d) deflecting the electron with a magnetic field
-e) measuring spin

19) If you play the solitaire game 6 times, you will on average win ___ times.

-a) 2
-b) 6
-c) 5
-d) 3
+e) 4

20) A local college averages 2500 new incoming students each year. Suppose the pool of potential high school graduates in the local area is so large that the probability of a given student selecting this college is small, and assume a variance of σ2 equal to p(1-p). What standard deviation would you expect in the yearly total of new enrollees, assuming nothing changes in this population from year to year?

+a) 50
-b) 250
-c) 200
-d) 500
-e) 150

### Bell:Bell3:V2

Bell152874216230

1) To create an unpolarized pendulum oscillation

a) create an elliptically polarized wave with an ε>0.2
b) start with a linear, circular, or elliptical wave and slowly evolve to different polarizations
c) create an elliptically polarized wave with an 0.2<ε<0.8
d) create an elliptically polarized wave with an ε<0.8

2) If the hypotenuse of a 60°-30° right triangle has a length of 1 what is the length of the shorter side?

a) ${\displaystyle {\tfrac {1}{2}}}$
b) ${\displaystyle {\tfrac {1}{4}}}$
c) ${\displaystyle {\tfrac {1}{\sqrt {2}}}}$
d) ${\displaystyle {\tfrac {\sqrt {3}}{2}}}$
e) ${\displaystyle {\tfrac {3}{4}}}$
3) Calculate the measured probability:
P(♠,) = ?
Assume the dots represent five observations.
a) 3/4
b) 2/5
c) 2/4=1/2
d) 3/5
e) 5/6

4) If you play the solitaire game 6 times, you will on average win ___ times.

a) 2
b) 3
c) 5
d) 4
e) 6

5) What is the probability of success, p, for a binary distribution using a six-sided die, with success defined as either a "two" or a "three"?

a) 5/6
b) 4/6
c) 2/6
d) 1/6
e) 3/6

6) Two black bodies of are created by cutting identical small holes two large containers. The holes are oriented so that all the photons leaving one will enter the other. The objects have different temperature and different volume. Which object emits more photons per second (above a given threshold energy)?

a) The object with the greater volume.
b) They both emit the same number of photons (since the holes are identical).
c) The object with the greater temperature emits more.
d) No unique answer exists because two variables are involved (temperature and volume).
7) Calculate the probability
P(♠,)+P(♠,)+P(,) = ?
Assume the dots represent five observations.
a) 6/5
b) 5/6
c) 7/5
d) 4/5
e) 5/4

8) In the Phet lab for photoelectric effect, how was the electron's kinetic energy measured?

a) deflecting the electron with a magnetic field
b) measuring polarization
c) measuring both spin and polarization
d) measuring spin
e) stopping the electron with an applied voltage

9) If the hypotenuse of a 45°-45° right triangle has a length of ${\displaystyle {\sqrt {2}}}$  what is the length of each side?

a) ${\displaystyle {\sqrt {2}}}$
b) ${\displaystyle 1}$
c) ${\displaystyle {\tfrac {1}{2}}}$
d) ${\displaystyle 2{\sqrt {2}}}$
e) ${\displaystyle {\tfrac {1}{\sqrt {2}}}}$

10) A local college averages 2500 new incoming students each year. Suppose the pool of potential high school graduates in the local area is so large that the probability of a given student selecting this college is small, and assume a variance of σ2 equal to p(1-p). What standard deviation would you expect in the yearly total of new enrollees, assuming nothing changes in this population from year to year?

a) 200
b) 150
c) 250
d) 50
e) 500

11) If 1018 photons pass through a small hole in your roof every second, how many photons would pass through it if you doubled the diameter?

a) 1018
b) 8x1018
c) 6x1018
d) 4x1018
e) 2x1018

12) A photon is polarized at 10° when it encounters a filter oriented at 70°. What is the probability that it passes?

a) 3/4
b) 0
c) 1
d) 1/4
e) 1/2

13) You solitaire deck uses ♠ ♣ and your answer cards are 4 and 5. You select 4♠, 5♣, and 5. If the questions were Q♠ and Q♣. Which of the following wins?

a) K and K♠
b) two of these are true
c) K and K♣
d) none of these are true
e) K♠ and K♣

14) When is the referee allowed to observe Alice and Bob?

a) never
b) While they are discussing strategy (phase 1), but not while their backs are turned to each other.
c) The referee should carefully observe Alice and Bob all the time
d) While their backs are turned, but not while they are discussing strategy (phase 1)

15) How much do the partners win or lose if Alice answers 4♠ to K♠ while Bob answers 5♠ to A♠?

a) win 1 point
b) no points awarded or lost
c) lose Q points
d) lose 3 points

16) Recall that only 4.6% of the outcomes for a normal distribution lie outside of two standard deviations from the mean, and approximate the binomial distribution as normal for large numbers. If the variance is σ2=np(1-p) where n is the number of trials and p=.11 is the probability of a positive outcome for 90 trials, roughly 98% of the outcomes will be smaller than approximately __

a) 6
b) 8
c) 12
d) 22
e) 16

17) A mathematically pure (strictly monochromatic) __________ wave (oscillation) that is unpolarized cannot be created

a) both can be created
b) electromagnetic or pendulum
c) pendulum
d) electromagnetic
18) Calculate the measured probability:
P(♠,) = ?
Assume the dots represent five observations.
a) 5/6
b) 3/5
c) 3/4
d) 2/5
e) 2/4=1/2

19) For a binomial distribution with n trials, the variance is σ2=np(1-p). If 90 trials are made and p=.11, the expected number of positive outcomes is__. Make the approximation that this binomial distribution is approximately a Gaussian (normal) distribution.

a) 1.1
b) 9.9
c) 3.3
d) 2.2

20) The β-strategy is a new strategy introduced in the couples version of the card game that calls for

a) Alice and Bob to always answer "even"
b) Alice and Bob to always answer "odd"
c) None of these describes the β-strategy
d) Alice and Bob to sometimes give different answers (one "even" while the other "odd")
e) Alice and Bob to always give different answers (one "even" while the other "odd")

### KEY:Bell:Bell3:V2

Bell152874216230

1) To create an unpolarized pendulum oscillation

-a) create an elliptically polarized wave with an ε>0.2
+b) start with a linear, circular, or elliptical wave and slowly evolve to different polarizations
-c) create an elliptically polarized wave with an 0.2<ε<0.8
-d) create an elliptically polarized wave with an ε<0.8

2) If the hypotenuse of a 60°-30° right triangle has a length of 1 what is the length of the shorter side?

+a) ${\displaystyle {\tfrac {1}{2}}}$
-b) ${\displaystyle {\tfrac {1}{4}}}$
-c) ${\displaystyle {\tfrac {1}{\sqrt {2}}}}$
-d) ${\displaystyle {\tfrac {\sqrt {3}}{2}}}$
-e) ${\displaystyle {\tfrac {3}{4}}}$
3) Calculate the measured probability:
P(♠,) = ?
Assume the dots represent five observations.
-a) 3/4
+b) 2/5
-c) 2/4=1/2
-d) 3/5
-e) 5/6

4) If you play the solitaire game 6 times, you will on average win ___ times.

-a) 2
-b) 3
-c) 5
+d) 4
-e) 6

5) What is the probability of success, p, for a binary distribution using a six-sided die, with success defined as either a "two" or a "three"?

-a) 5/6
-b) 4/6
+c) 2/6
-d) 1/6
-e) 3/6

6) Two black bodies of are created by cutting identical small holes two large containers. The holes are oriented so that all the photons leaving one will enter the other. The objects have different temperature and different volume. Which object emits more photons per second (above a given threshold energy)?

-a) The object with the greater volume.
-b) They both emit the same number of photons (since the holes are identical).
+c) The object with the greater temperature emits more.
-d) No unique answer exists because two variables are involved (temperature and volume).
7) Calculate the probability
P(♠,)+P(♠,)+P(,) = ?
Assume the dots represent five observations.
-a) 6/5
-b) 5/6
+c) 7/5
-d) 4/5
-e) 5/4

8) In the Phet lab for photoelectric effect, how was the electron's kinetic energy measured?

-a) deflecting the electron with a magnetic field
-b) measuring polarization
-c) measuring both spin and polarization
-d) measuring spin
+e) stopping the electron with an applied voltage

9) If the hypotenuse of a 45°-45° right triangle has a length of ${\displaystyle {\sqrt {2}}}$  what is the length of each side?

+a) ${\displaystyle {\sqrt {2}}}$
-b) ${\displaystyle 1}$
-c) ${\displaystyle {\tfrac {1}{2}}}$
-d) ${\displaystyle 2{\sqrt {2}}}$
-e) ${\displaystyle {\tfrac {1}{\sqrt {2}}}}$

10) A local college averages 2500 new incoming students each year. Suppose the pool of potential high school graduates in the local area is so large that the probability of a given student selecting this college is small, and assume a variance of σ2 equal to p(1-p). What standard deviation would you expect in the yearly total of new enrollees, assuming nothing changes in this population from year to year?

-a) 200
-b) 150
-c) 250
+d) 50
-e) 500

11) If 1018 photons pass through a small hole in your roof every second, how many photons would pass through it if you doubled the diameter?

-a) 1018
-b) 8x1018
-c) 6x1018
+d) 4x1018
-e) 2x1018

12) A photon is polarized at 10° when it encounters a filter oriented at 70°. What is the probability that it passes?

-a) 3/4
-b) 0
-c) 1
+d) 1/4
-e) 1/2

13) You solitaire deck uses ♠ ♣ and your answer cards are 4 and 5. You select 4♠, 5♣, and 5. If the questions were Q♠ and Q♣. Which of the following wins?

-a) K and K♠
+b) two of these are true
-c) K and K♣
-d) none of these are true
-e) K♠ and K♣

14) When is the referee allowed to observe Alice and Bob?

-a) never
-b) While they are discussing strategy (phase 1), but not while their backs are turned to each other.
-c) The referee should carefully observe Alice and Bob all the time
+d) While their backs are turned, but not while they are discussing strategy (phase 1)

15) How much do the partners win or lose if Alice answers 4♠ to K♠ while Bob answers 5♠ to A♠?

-a) win 1 point
-b) no points awarded or lost
+c) lose Q points
-d) lose 3 points

16) Recall that only 4.6% of the outcomes for a normal distribution lie outside of two standard deviations from the mean, and approximate the binomial distribution as normal for large numbers. If the variance is σ2=np(1-p) where n is the number of trials and p=.11 is the probability of a positive outcome for 90 trials, roughly 98% of the outcomes will be smaller than approximately __

-a) 6
-b) 8
-c) 12
-d) 22
+e) 16

17) A mathematically pure (strictly monochromatic) __________ wave (oscillation) that is unpolarized cannot be created

-a) both can be created
+b) electromagnetic or pendulum
-c) pendulum
-d) electromagnetic
18) Calculate the measured probability:
P(♠,) = ?
Assume the dots represent five observations.
-a) 5/6
+b) 3/5
-c) 3/4
-d) 2/5
-e) 2/4=1/2

19) For a binomial distribution with n trials, the variance is σ2=np(1-p). If 90 trials are made and p=.11, the expected number of positive outcomes is__. Make the approximation that this binomial distribution is approximately a Gaussian (normal) distribution.

-a) 1.1
+b) 9.9
-c) 3.3
-d) 2.2

20) The β-strategy is a new strategy introduced in the couples version of the card game that calls for

-a) Alice and Bob to always answer "even"
-b) Alice and Bob to always answer "odd"
-c) None of these describes the β-strategy
-d) Alice and Bob to sometimes give different answers (one "even" while the other "odd")
+e) Alice and Bob to always give different answers (one "even" while the other "odd")