Bell152874216216

### Bell:Bell1:V0 edit

Bell152874216216

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

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

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

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

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

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

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

5) For a binomial distribution with n trials, the variance is σ^{2}=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) 6
- c) 1
- d) 18
- e) 3

6) What is the probability of success, p, for a binary distribution using a six-sided die, with success defined as anything but "two"?

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

7) For a binomial distribution with n trials, the variance is σ^{2}=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) 9.9
- b) 2.2
- c) 3.3
- d) 1.1

8) The binomial distribution results from observing n outcomes, each having a probability p of "success"

- a) True
- b) False

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

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

10) If the hypotenuse of a 45°-45° right triangle has a length of what is the length of each side?

- a)
- b)
- c)
- d)
- e)

### KEY:Bell:Bell1:V0 edit

Bell152874216216

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

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

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

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

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

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

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

5) For a binomial distribution with n trials, the variance is σ^{2}=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) 6
- -c) 1
- -d) 18
- +e) 3

6) What is the probability of success, p, for a binary distribution using a six-sided die, with success defined as anything but "two"?

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

7) For a binomial distribution with n trials, the variance is σ^{2}=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) 9.9
- -b) 2.2
- -c) 3.3
- -d) 1.1

8) The binomial distribution results from observing n outcomes, each having a probability p of "success"

- +a) True
- -b) False

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

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

10) If the hypotenuse of a 45°-45° right triangle has a length of what is the length of each side?

- -a)
- -b)
- -c)
- -d)
- +e)

### Bell:Bell1:V1 edit

Bell152874216216

1) What is the probability of success, p, for a binary distribution using a six-sided die, with success defined as anything but "two"?

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

2) For a binomial distribution with n trials, the variance is σ^{2}=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) 9.9
- c) 3.3
- d) 1.1

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

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

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

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

5) 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) K♠ and K♣
- d) none of these are true
- e) two of these are true

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

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

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

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

8) The binomial distribution results from observing n outcomes, each having a probability p of "success"

- a) True
- b) False

9) If the hypotenuse of a 45°-45° right triangle has a length of what is the length of each side?

- a)
- b)
- c)
- d)
- e)

10) For a binomial distribution with n trials, the variance is σ^{2}=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) 3
- c) 18
- d) 1
- e) 9

### KEY:Bell:Bell1:V1 edit

Bell152874216216

1) What is the probability of success, p, for a binary distribution using a six-sided die, with success defined as anything but "two"?

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

2) For a binomial distribution with n trials, the variance is σ^{2}=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) 9.9
- -c) 3.3
- -d) 1.1

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

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

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

5) 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) K♠ and K♣
- -d) none of these are true
- +e) two of these are true

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

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

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

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

- +a) True
- -b) False

9) If the hypotenuse of a 45°-45° right triangle has a length of what is the length of each side?

- -a)
- -b)
- +c)
- -d)
- -e)

10) For a binomial distribution with n trials, the variance is σ^{2}=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) 3
- -c) 18
- -d) 1
- -e) 9

### Bell:Bell1:V2 edit

Bell152874216216

1) What is the probability of success, p, for a binary distribution using a six-sided die, with success defined as anything but "two"?

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

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

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

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

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

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

5) For a binomial distribution with n trials, the variance is σ^{2}=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) 9.9
- b) 2.2
- c) 3.3
- d) 1.1

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

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

7) The binomial distribution results from observing n outcomes, each having a probability p of "success"

- a) True
- b) False

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) If the hypotenuse of a 45°-45° right triangle has a length of what is the length of each side?

- a)
- b)
- c)
- d)
- e)

10) For a binomial distribution with n trials, the variance is σ^{2}=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) 3
- b) 18
- c) 9
- d) 1
- e) 6

### KEY:Bell:Bell1:V2 edit

Bell152874216216

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

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

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

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

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

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

5) For a binomial distribution with n trials, the variance is σ^{2}=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) 9.9
- -b) 2.2
- -c) 3.3
- -d) 1.1

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

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

7) The binomial distribution results from observing n outcomes, each having a probability p of "success"

- +a) True
- -b) False

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) If the hypotenuse of a 45°-45° right triangle has a length of what is the length of each side?

- -a)
- -b)
- -c)
- +d)
- -e)

^{2}=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) 3
- -b) 18
- -c) 9
- -d) 1
- -e) 6

### Bell:Bell2:V0 edit

Bell152874216216

1) A linear polarizer selects a component of the electric field. Also, the energy density of light is proportional to the square of the electric field. By what factor does a filter reduce the electric field if it is oriented 60° to that field?

- a)
- b)
- c)
- d)
- e)

2) Suppose referee adopts neutral scoring with Q=4 and asks the same question with a probability P_{S}=0.25. This reduces the average loss rate for their partners for the following reason: Consider a probability space with

- a) 4 equally probable events: On three they are given different questions, winning twice but losing once. On the fourth event they are given the same answer and neither gain nor lose a point.
- b) 4 equally probable events: On three they are given different questions, winning once but losing twice. On the fourth event they are given the same answer and lose a point.
- c) 3 equally probable events: On two they are given different questions, winning twice. On the third event they are given the same answer and lose a point.
- d) 3 equally probable events: On two they are given different questions, winning once and losing once. On the third event they are given the same answer and neither gain nor lose a point.
- e) 3 equally probable events: On two they are given different questions, winning once and losing once. On the third event they are given the same answer and lose a point.

3) Although it decreases the rate at which the partners lose point, increasing the probability of asking the same question is more effective at persuading students to act as particles by relying on the α-strategy because relying on a larger penalty for giving different answers to the same question will tempt students to use the β-strategy only briefly (hoping never to be caught) and then requesting a break to "re-establish" quantum entanglement.

- a) True
- b) False

4) Suppose the referee selects neutral scoring with What number does the penalty approach as the probability of asking the same question goes to 0?

- a)
- b)
- c)
- d)
- e)

5) Two black bodies of are created by cutting identical small holes in 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 has the greater electromagnetic ("photon") energy density (energy per unit volume)?

- a) No unique answer exists because two variables are involved (temperature and volume).
- b) The hotter object has a greater energy density.
- c) The larger object has a greater energy density.
- d) They have the same energy density (since the holes are identical).

6) A photon is polarized at 10° when it encounters a filter oriented at 100°. What is the probability that it is blocked?

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

7) If the frequency *f* associated with a photon increases by a factor of 4, the photon's energy *E*

- a) is reduced by a factor of 4
- b) becomes 4 times as big
- c) is cut in half
- d) stays the same
- e) becomes twice as big

C(♠,♥) = ?

Assume the dots represent five observations.

- a) +2/5
- b) 0
- c) −1/5
- d) −2/5
- e) +1
- f) +1/5

P(♠,♦) = ?

Assume the dots represent five observations.

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

P(♠,♦)+P(♠,♥)+P(♥,♦) = ?

Assume the dots represent five observations.

- a) 4/5
- b) 5/4
- c) 6/5
- d) 5/6
- e) 7/5

### KEY:Bell:Bell2:V0 edit

Bell152874216216

1) A linear polarizer selects a component of the electric field. Also, the energy density of light is proportional to the square of the electric field. By what factor does a filter reduce the electric field if it is oriented 60° to that field?

- +a)
- -b)
- -c)
- -d)
- -e)

2) Suppose referee adopts neutral scoring with Q=4 and asks the same question with a probability P_{S}=0.25. This reduces the average loss rate for their partners for the following reason: Consider a probability space with

- +a) 4 equally probable events: On three they are given different questions, winning twice but losing once. On the fourth event they are given the same answer and neither gain nor lose a point.
- -b) 4 equally probable events: On three they are given different questions, winning once but losing twice. On the fourth event they are given the same answer and lose a point.
- -c) 3 equally probable events: On two they are given different questions, winning twice. On the third event they are given the same answer and lose a point.
- -d) 3 equally probable events: On two they are given different questions, winning once and losing once. On the third event they are given the same answer and neither gain nor lose a point.
- -e) 3 equally probable events: On two they are given different questions, winning once and losing once. On the third event they are given the same answer and lose a point.

3) Although it decreases the rate at which the partners lose point, increasing the probability of asking the same question is more effective at persuading students to act as particles by relying on the α-strategy because relying on a larger penalty for giving different answers to the same question will tempt students to use the β-strategy only briefly (hoping never to be caught) and then requesting a break to "re-establish" quantum entanglement.

- +a) True
- -b) False

4) Suppose the referee selects neutral scoring with What number does the penalty approach as the probability of asking the same question goes to 0?

- -a)
- +b)
- -c)
- -d)
- -e)

5) Two black bodies of are created by cutting identical small holes in 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 has the greater electromagnetic ("photon") energy density (energy per unit volume)?

- -a) No unique answer exists because two variables are involved (temperature and volume).
- +b) The hotter object has a greater energy density.
- -c) The larger object has a greater energy density.
- -d) They have the same energy density (since the holes are identical).

6) A photon is polarized at 10° when it encounters a filter oriented at 100°. What is the probability that it is blocked?

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

7) If the frequency *f* associated with a photon increases by a factor of 4, the photon's energy *E*

- -a) is reduced by a factor of 4
- +b) becomes 4 times as big
- -c) is cut in half
- -d) stays the same
- -e) becomes twice as big

C(♠,♥) = ?

Assume the dots represent five observations.

- -a) +2/5
- -b) 0
- +c) −1/5
- -d) −2/5
- -e) +1
- -f) +1/5

P(♠,♦) = ?

Assume the dots represent five observations.

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

P(♠,♦)+P(♠,♥)+P(♥,♦) = ?

Assume the dots represent five observations.

- -a) 4/5
- -b) 5/4
- -c) 6/5
- -d) 5/6
- +e) 7/5

### Bell:Bell2:V1 edit

Bell152874216216

1) If the frequency *f* associated with a photon increases by a factor of 4, the photon's energy *E*

- a) is reduced by a factor of 4
- b) stays the same
- c) becomes 4 times as big
- d) is cut in half
- e) becomes twice as big

2) A linear polarizer selects a component of the electric field. Also, the energy density of light is proportional to the square of the electric field. By what factor does a filter reduce the electric field if it is oriented 60° to that field?

- a)
- b)
- c)
- d)
- e)

3) Although it decreases the rate at which the partners lose point, increasing the probability of asking the same question is more effective at persuading students to act as particles by relying on the α-strategy because relying on a larger penalty for giving different answers to the same question will tempt students to use the β-strategy only briefly (hoping never to be caught) and then requesting a break to "re-establish" quantum entanglement.

- a) True
- b) False

4) Suppose referee adopts neutral scoring with Q=4 and asks the same question with a probability P_{S}=0.25. This reduces the average loss rate for their partners for the following reason: Consider a probability space with

- a) 4 equally probable events: On three they are given different questions, winning twice but losing once. On the fourth event they are given the same answer and neither gain nor lose a point.
- b) 3 equally probable events: On two they are given different questions, winning twice. On the third event they are given the same answer and lose a point.
- c) 4 equally probable events: On three they are given different questions, winning once but losing twice. On the fourth event they are given the same answer and lose a point.
- d) 3 equally probable events: On two they are given different questions, winning once and losing once. On the third event they are given the same answer and neither gain nor lose a point.
- e) 3 equally probable events: On two they are given different questions, winning once and losing once. On the third event they are given the same answer and lose a point.

5) A photon is polarized at 10° when it encounters a filter oriented at 100°. What is the probability that it is blocked?

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

6) Two black bodies of are created by cutting identical small holes in 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 has the greater electromagnetic ("photon") energy density (energy per unit volume)?

- a) The hotter object has a greater energy density.
- b) They have the same energy density (since the holes are identical).
- c) The larger object has a greater energy density.
- d) No unique answer exists because two variables are involved (temperature and volume).

C(♠,♥) = ?

Assume the dots represent five observations.

- a) +1/5
- b) −2/5
- c) 0
- d) +1
- e) +2/5
- f) −1/5

P(♠,♦)+P(♠,♥)+P(♥,♦) = ?

Assume the dots represent five observations.

- a) 7/5
- b) 5/6
- c) 4/5
- d) 5/4
- e) 6/5

P(♠,♦) = ?

Assume the dots represent five observations.

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

10) Suppose the referee selects neutral scoring with What number does the penalty approach as the probability of asking the same question goes to 0?

- a)
- b)
- c)
- d)
- e)

### KEY:Bell:Bell2:V1 edit

Bell152874216216

1) If the frequency *f* associated with a photon increases by a factor of 4, the photon's energy *E*

- -a) is reduced by a factor of 4
- -b) stays the same
- +c) becomes 4 times as big
- -d) is cut in half
- -e) becomes twice as big

2) A linear polarizer selects a component of the electric field. Also, the energy density of light is proportional to the square of the electric field. By what factor does a filter reduce the electric field if it is oriented 60° to that field?

- -a)
- -b)
- -c)
- +d)
- -e)

- +a) True
- -b) False

4) Suppose referee adopts neutral scoring with Q=4 and asks the same question with a probability P_{S}=0.25. This reduces the average loss rate for their partners for the following reason: Consider a probability space with

- +a) 4 equally probable events: On three they are given different questions, winning twice but losing once. On the fourth event they are given the same answer and neither gain nor lose a point.
- -b) 3 equally probable events: On two they are given different questions, winning twice. On the third event they are given the same answer and lose a point.
- -c) 4 equally probable events: On three they are given different questions, winning once but losing twice. On the fourth event they are given the same answer and lose a point.
- -d) 3 equally probable events: On two they are given different questions, winning once and losing once. On the third event they are given the same answer and neither gain nor lose a point.
- -e) 3 equally probable events: On two they are given different questions, winning once and losing once. On the third event they are given the same answer and lose a point.

5) A photon is polarized at 10° when it encounters a filter oriented at 100°. What is the probability that it is blocked?

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

6) Two black bodies of are created by cutting identical small holes in 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 has the greater electromagnetic ("photon") energy density (energy per unit volume)?

- +a) The hotter object has a greater energy density.
- -b) They have the same energy density (since the holes are identical).
- -c) The larger object has a greater energy density.
- -d) No unique answer exists because two variables are involved (temperature and volume).

C(♠,♥) = ?

Assume the dots represent five observations.

- -a) +1/5
- -b) −2/5
- -c) 0
- -d) +1
- -e) +2/5
- +f) −1/5

P(♠,♦)+P(♠,♥)+P(♥,♦) = ?

Assume the dots represent five observations.

- +a) 7/5
- -b) 5/6
- -c) 4/5
- -d) 5/4
- -e) 6/5

P(♠,♦) = ?

Assume the dots represent five observations.

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

10) Suppose the referee selects neutral scoring with What number does the penalty approach as the probability of asking the same question goes to 0?

- +a)
- -b)
- -c)
- -d)
- -e)

### Bell:Bell2:V2 edit

Bell152874216216

1) A photon is polarized at 10° when it encounters a filter oriented at 100°. What is the probability that it is blocked?

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

2) Suppose the referee selects neutral scoring with What number does the penalty approach as the probability of asking the same question goes to 0?

- a)
- b)
- c)
- d)
- e)

- a) True
- b) False

4) Two black bodies of are created by cutting identical small holes in 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 has the greater electromagnetic ("photon") energy density (energy per unit volume)?

- a) The larger object has a greater energy density.
- b) They have the same energy density (since the holes are identical).
- c) No unique answer exists because two variables are involved (temperature and volume).
- d) The hotter object has a greater energy density.

P(♠,♦) = ?

Assume the dots represent five observations.

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

P(♠,♦)+P(♠,♥)+P(♥,♦) = ?

Assume the dots represent five observations.

- a) 4/5
- b) 5/6
- c) 7/5
- d) 6/5
- e) 5/4

C(♠,♥) = ?

Assume the dots represent five observations.

- a) +2/5
- b) 0
- c) +1
- d) +1/5
- e) −2/5
- f) −1/5

8) If the frequency *f* associated with a photon increases by a factor of 4, the photon's energy *E*

- a) stays the same
- b) is reduced by a factor of 4
- c) becomes 4 times as big
- d) becomes twice as big
- e) is cut in half

9) A linear polarizer selects a component of the electric field. Also, the energy density of light is proportional to the square of the electric field. By what factor does a filter reduce the electric field if it is oriented 60° to that field?

- a)
- b)
- c)
- d)
- e)

10) Suppose referee adopts neutral scoring with Q=4 and asks the same question with a probability P_{S}=0.25. This reduces the average loss rate for their partners for the following reason: Consider a probability space with

- a) 4 equally probable events: On three they are given different questions, winning twice but losing once. On the fourth event they are given the same answer and neither gain nor lose a point.
- b) 3 equally probable events: On two they are given different questions, winning once and losing once. On the third event they are given the same answer and lose a point.
- c) 4 equally probable events: On three they are given different questions, winning once but losing twice. On the fourth event they are given the same answer and lose a point.
- d) 3 equally probable events: On two they are given different questions, winning once and losing once. On the third event they are given the same answer and neither gain nor lose a point.
- e) 3 equally probable events: On two they are given different questions, winning twice. On the third event they are given the same answer and lose a point.

### KEY:Bell:Bell2:V2 edit

Bell152874216216

1) A photon is polarized at 10° when it encounters a filter oriented at 100°. What is the probability that it is blocked?

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

2) Suppose the referee selects neutral scoring with What number does the penalty approach as the probability of asking the same question goes to 0?

- -a)
- +b)
- -c)
- -d)
- -e)

- +a) True
- -b) False

4) Two black bodies of are created by cutting identical small holes in 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 has the greater electromagnetic ("photon") energy density (energy per unit volume)?

- -a) The larger object has a greater energy density.
- -b) They have the same energy density (since the holes are identical).
- -c) No unique answer exists because two variables are involved (temperature and volume).
- +d) The hotter object has a greater energy density.

P(♠,♦) = ?

Assume the dots represent five observations.

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

P(♠,♦)+P(♠,♥)+P(♥,♦) = ?

Assume the dots represent five observations.

- -a) 4/5
- -b) 5/6
- +c) 7/5
- -d) 6/5
- -e) 5/4

C(♠,♥) = ?

Assume the dots represent five observations.

- -a) +2/5
- -b) 0
- -c) +1
- -d) +1/5
- -e) −2/5
- +f) −1/5

8) If the frequency *f* associated with a photon increases by a factor of 4, the photon's energy *E*

- -a) stays the same
- -b) is reduced by a factor of 4
- +c) becomes 4 times as big
- -d) becomes twice as big
- -e) is cut in half

9) A linear polarizer selects a component of the electric field. Also, the energy density of light is proportional to the square of the electric field. By what factor does a filter reduce the electric field if it is oriented 60° to that field?

- +a)
- -b)
- -c)
- -d)
- -e)

10) Suppose referee adopts neutral scoring with Q=4 and asks the same question with a probability P_{S}=0.25. This reduces the average loss rate for their partners for the following reason: Consider a probability space with

- +a) 4 equally probable events: On three they are given different questions, winning twice but losing once. On the fourth event they are given the same answer and neither gain nor lose a point.
- -b) 3 equally probable events: On two they are given different questions, winning once and losing once. On the third event they are given the same answer and lose a point.
- -c) 4 equally probable events: On three they are given different questions, winning once but losing twice. On the fourth event they are given the same answer and lose a point.
- -d) 3 equally probable events: On two they are given different questions, winning once and losing once. On the third event they are given the same answer and neither gain nor lose a point.
- -e) 3 equally probable events: On two they are given different questions, winning twice. On the third event they are given the same answer and lose a point.

### Bell:Bell3:V0 edit

Bell152874216216

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 loses?

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

3) The normal distribution (often called a "bell curve") is never skewed

- a) True
- b) False

4) By definition, a skewed distribution

- a) is a "normal" distribution
- b) is broader than an unskewed distribution
- c) contains no outliers
- d) is asymmetric about it's peak value
- e) includes negative values of the observed variable

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 σ^{2}=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) 16
- b) 12
- c) 6
- d) 22
- e) 8

6) For a binomial distribution with n trials, the variance is σ^{2}=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

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

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

8) A linear polarizer selects a component of the electric field. Also, the energy density of light is proportional to the square of the electric field. A 12 mW laser strikes a polarizing filter oriented 30° to the incoming axis of polarization. How much power passes the filter?

- a) 8mW
- b) 9mW
- c) 4mW
- d) 3mW
- e) 6mW

9) A linear polarizer selects a component of the electric field. Also, the energy density of light is proportional to the square of the electric field.A 12 mW laser strikes a polarizing filter oriented 60° to the incoming axis of polarization. How much power is passed by the filter?

- a) 4mW
- b) 8mW
- c) 9mW
- d) 3mW
- e) 6mW

10) Hold a pendulum a moderate distance from equilibrium and release it by tossing it in a direction parallel to the displacement of the mass from equilibrium. The resulting polarization will be ____ (pick the best answer)

- a) linearly
- b) circular or elliptical
- c) circular
- d) circular or linear
- e) linear or elliptical

11) 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) lose 3 points
- c) no points awarded or lost
- d) win 1 point

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

14) 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) 0
- d) 1
- e) 1/2

15) If an atom emits two photons in a cascade emission and both photons have 2 eV of energy, the atom's energy

- a) stays the same
- b) decreases by 4 eV
- c) increases by 2 eV
- d) decreases by 2 eV
- e) increases by 4 eV

16) A photon is polarized at 10° when it encounters a filter oriented at 40°. What is the probability that it is blocked?

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

17) If 10^{18} photons pass through a small hole in your roof every second, how many photons would pass through it if you doubled the diameter?

- a) 10
^{18} - b) 8x10
^{18} - c) 6x10
^{18} - d) 4x10
^{18} - e) 2x10
^{18}

C(♠,♥) = ?

Assume the dots represent five observations.

- a) −2/5
- b) 0
- c) −1/5
- d) +1/5
- e) +2/5
- f) +1

P(♠,♦) = ?

Assume the dots represent five observations.

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

- a) 0
- b) 1/4
- c) 1
- d) 5/4
- e) 3/4
- f) 1/2

### KEY:Bell:Bell3:V0 edit

Bell152874216216

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 loses?

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

3) The normal distribution (often called a "bell curve") is never skewed

- +a) True
- -b) False

4) By definition, a skewed distribution

- -a) is a "normal" distribution
- -b) is broader than an unskewed distribution
- -c) contains no outliers
- +d) is asymmetric about it's peak value
- -e) includes negative values of the observed variable

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 σ^{2}=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) 16
- -b) 12
- -c) 6
- -d) 22
- -e) 8

6) For a binomial distribution with n trials, the variance is σ^{2}=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

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

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

8) A linear polarizer selects a component of the electric field. Also, the energy density of light is proportional to the square of the electric field. A 12 mW laser strikes a polarizing filter oriented 30° to the incoming axis of polarization. How much power passes the filter?

- -a) 8mW
- +b) 9mW
- -c) 4mW
- -d) 3mW
- -e) 6mW

9) A linear polarizer selects a component of the electric field. Also, the energy density of light is proportional to the square of the electric field.A 12 mW laser strikes a polarizing filter oriented 60° to the incoming axis of polarization. How much power is passed by the filter?

- -a) 4mW
- -b) 8mW
- -c) 9mW
- +d) 3mW
- -e) 6mW

10) Hold a pendulum a moderate distance from equilibrium and release it by tossing it in a direction parallel to the displacement of the mass from equilibrium. The resulting polarization will be ____ (pick the best answer)

- +a) linearly
- -b) circular or elliptical
- -c) circular
- -d) circular or linear
- -e) linear or elliptical

11) 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) lose 3 points
- -c) no points awarded or lost
- +d) win 1 point

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

14) 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) 0
- -d) 1
- +e) 1/2

15) If an atom emits two photons in a cascade emission and both photons have 2 eV of energy, the atom's energy

- -a) stays the same
- +b) decreases by 4 eV
- -c) increases by 2 eV
- -d) decreases by 2 eV
- -e) increases by 4 eV

16) A photon is polarized at 10° when it encounters a filter oriented at 40°. What is the probability that it is blocked?

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

17) If 10^{18} photons pass through a small hole in your roof every second, how many photons would pass through it if you doubled the diameter?

- -a) 10
^{18} - -b) 8x10
^{18} - -c) 6x10
^{18} - +d) 4x10
^{18} - -e) 2x10
^{18}

C(♠,♥) = ?

Assume the dots represent five observations.

- -a) −2/5
- -b) 0
- +c) −1/5
- -d) +1/5
- -e) +2/5
- -f) +1

P(♠,♦) = ?

Assume the dots represent five observations.

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

- -a) 0
- -b) 1/4
- -c) 1
- +d) 5/4
- -e) 3/4
- -f) 1/2

### Bell:Bell3:V1 edit

Bell152874216216

1) A photon is polarized at 10° when it encounters a filter oriented at 40°. What is the probability that it is blocked?

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

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

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

3) A linear polarizer selects a component of the electric field. Also, the energy density of light is proportional to the square of the electric field.A 12 mW laser strikes a polarizing filter oriented 60° to the incoming axis of polarization. How much power is passed by the filter?

- a) 4mW
- b) 3mW
- c) 6mW
- d) 9mW
- e) 8mW

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) 1/2
- c) 0
- d) 3/4
- e) 1

5) 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) lose 3 points
- c) win 3 points
- d) be disqualified for cheating
- e) lose 1 point

6) If 10^{18} photons pass through a small hole in your roof every second, how many photons would pass through it if you doubled the diameter?

- a) 8x10
^{18} - b) 4x10
^{18} - c) 2x10
^{18} - d) 10
^{18} - e) 6x10
^{18}

7) 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")

8) The normal distribution (often called a "bell curve") is never skewed

- a) True
- b) False

P(♠,♦) = ?

Assume the dots represent five observations.

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

C(♠,♥) = ?

Assume the dots represent five observations.

- a) −1/5
- b) +1
- c) −2/5
- d) +2/5
- e) 0
- f) +1/5

11) By definition, a skewed distribution

- a) is a "normal" distribution
- b) is broader than an unskewed distribution
- c) is asymmetric about it's peak value
- d) contains no outliers
- e) includes negative values of the observed variable

12) 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 σ^{2}=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) 22
- b) 12
- c) 16
- d) 6
- e) 8

13) A linear polarizer selects a component of the electric field. Also, the energy density of light is proportional to the square of the electric field. A 12 mW laser strikes a polarizing filter oriented 30° to the incoming axis of polarization. How much power passes the filter?

- a) 8mW
- b) 4mW
- c) 9mW
- d) 3mW
- e) 6mW

- a) 3/4
- b) 1/4
- c) 1
- d) 1/2
- e) 0
- f) 5/4

15) If an atom emits two photons in a cascade emission and both photons have 2 eV of energy, the atom's energy

- a) increases by 2 eV
- b) decreases by 2 eV
- c) increases by 4 eV
- d) stays the same
- e) decreases by 4 eV

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

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

17) Hold a pendulum a moderate distance from equilibrium and release it by tossing it in a direction parallel to the displacement of the mass from equilibrium. The resulting polarization will be ____ (pick the best answer)

- a) circular or linear
- b) linear or elliptical
- c) circular
- d) linearly
- e) circular or elliptical

18) For a binomial distribution with n trials, the variance is σ^{2}=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) 9.9
- b) 3.3
- c) 1.1
- d) 2.2

20) 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 loses?

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

### KEY:Bell:Bell3:V1 edit

Bell152874216216

1) A photon is polarized at 10° when it encounters a filter oriented at 40°. What is the probability that it is blocked?

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

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

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

3) A linear polarizer selects a component of the electric field. Also, the energy density of light is proportional to the square of the electric field.A 12 mW laser strikes a polarizing filter oriented 60° to the incoming axis of polarization. How much power is passed by the filter?

- -a) 4mW
- +b) 3mW
- -c) 6mW
- -d) 9mW
- -e) 8mW

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) 1/2
- -c) 0
- -d) 3/4
- -e) 1

5) 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) lose 3 points
- -c) win 3 points
- -d) be disqualified for cheating
- -e) lose 1 point

6) If 10^{18} photons pass through a small hole in your roof every second, how many photons would pass through it if you doubled the diameter?

- -a) 8x10
^{18} - +b) 4x10
^{18} - -c) 2x10
^{18} - -d) 10
^{18} - -e) 6x10
^{18}

7) 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")

8) The normal distribution (often called a "bell curve") is never skewed

- +a) True
- -b) False

P(♠,♦) = ?

Assume the dots represent five observations.

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

C(♠,♥) = ?

Assume the dots represent five observations.

- +a) −1/5
- -b) +1
- -c) −2/5
- -d) +2/5
- -e) 0
- -f) +1/5

11) By definition, a skewed distribution

- -a) is a "normal" distribution
- -b) is broader than an unskewed distribution
- +c) is asymmetric about it's peak value
- -d) contains no outliers
- -e) includes negative values of the observed variable

12) 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 σ^{2}=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) 22
- -b) 12
- +c) 16
- -d) 6
- -e) 8

13) A linear polarizer selects a component of the electric field. Also, the energy density of light is proportional to the square of the electric field. A 12 mW laser strikes a polarizing filter oriented 30° to the incoming axis of polarization. How much power passes the filter?

- -a) 8mW
- -b) 4mW
- +c) 9mW
- -d) 3mW
- -e) 6mW

- -a) 3/4
- -b) 1/4
- -c) 1
- -d) 1/2
- -e) 0
- +f) 5/4

- -a) increases by 2 eV
- -b) decreases by 2 eV
- -c) increases by 4 eV
- -d) stays the same
- +e) decreases by 4 eV

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

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

17) Hold a pendulum a moderate distance from equilibrium and release it by tossing it in a direction parallel to the displacement of the mass from equilibrium. The resulting polarization will be ____ (pick the best answer)

- -a) circular or linear
- -b) linear or elliptical
- -c) circular
- +d) linearly
- -e) circular or elliptical

18) For a binomial distribution with n trials, the variance is σ^{2}=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) 9.9
- -b) 3.3
- -c) 1.1
- -d) 2.2

20) 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 loses?

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

### Bell:Bell3:V2 edit

Bell152874216216

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

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

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 loses?

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

3) A linear polarizer selects a component of the electric field. Also, the energy density of light is proportional to the square of the electric field. A 12 mW laser strikes a polarizing filter oriented 30° to the incoming axis of polarization. How much power passes the filter?

- a) 3mW
- b) 8mW
- c) 6mW
- d) 9mW
- e) 4mW

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 σ^{2}=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) 12
- d) 22
- e) 8

5) 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) lose 3 points
- c) win 3 points
- d) lose 1 point
- e) be disqualified for cheating

6) 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 give different answers (one "even" while the other "odd")
- 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 answer "even"

7) Hold a pendulum a moderate distance from equilibrium and release it by tossing it in a direction parallel to the displacement of the mass from equilibrium. The resulting polarization will be ____ (pick the best answer)

- a) circular
- b) circular or elliptical
- c) linearly
- d) linear or elliptical
- e) circular or linear

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) no points awarded or lost
- d) lose 3 points

- a) 1/4
- b) 0
- c) 1
- d) 5/4
- e) 1/2
- f) 3/4

P(♠,♦) = ?

Assume the dots represent five observations.

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

12) The normal distribution (often called a "bell curve") is never skewed

- a) True
- b) False

13) If an atom emits two photons in a cascade emission and both photons have 2 eV of energy, the atom's energy

- a) decreases by 4 eV
- b) increases by 4 eV
- c) increases by 2 eV
- d) decreases by 2 eV
- e) stays the same

14) By definition, a skewed distribution

- a) contains no outliers
- b) is broader than an unskewed distribution
- c) is a "normal" distribution
- d) includes negative values of the observed variable
- e) is asymmetric about it's peak value

C(♠,♥) = ?

Assume the dots represent five observations.

- a) +1
- b) −2/5
- c) −1/5
- d) +2/5
- e) 0
- f) +1/5

16) If 10^{18} photons pass through a small hole in your roof every second, how many photons would pass through it if you doubled the diameter?

- a) 4x10
^{18} - b) 8x10
^{18} - c) 2x10
^{18} - d) 6x10
^{18} - e) 10
^{18}

17) A photon is polarized at 10° when it encounters a filter oriented at 40°. What is the probability that it is blocked?

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

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

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

19) A linear polarizer selects a component of the electric field. Also, the energy density of light is proportional to the square of the electric field.A 12 mW laser strikes a polarizing filter oriented 60° to the incoming axis of polarization. How much power is passed by the filter?

- a) 4mW
- b) 8mW
- c) 3mW
- d) 9mW
- e) 6mW

20) For a binomial distribution with n trials, the variance is σ^{2}=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) 2.2
- d) 9.9

### KEY:Bell:Bell3:V2 edit

Bell152874216216

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

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

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 loses?

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

3) A linear polarizer selects a component of the electric field. Also, the energy density of light is proportional to the square of the electric field. A 12 mW laser strikes a polarizing filter oriented 30° to the incoming axis of polarization. How much power passes the filter?

- -a) 3mW
- -b) 8mW
- -c) 6mW
- +d) 9mW
- -e) 4mW

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 σ^{2}=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) 12
- -d) 22
- -e) 8

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

6) 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 give different answers (one "even" while the other "odd")
- -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 answer "even"

7) Hold a pendulum a moderate distance from equilibrium and release it by tossing it in a direction parallel to the displacement of the mass from equilibrium. The resulting polarization will be ____ (pick the best answer)

- -a) circular
- -b) circular or elliptical
- +c) linearly
- -d) linear or elliptical
- -e) circular or linear

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) no points awarded or lost
- -d) lose 3 points

- -a) 1/4
- -b) 0
- -c) 1
- +d) 5/4
- -e) 1/2
- -f) 3/4

P(♠,♦) = ?

Assume the dots represent five observations.

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

12) The normal distribution (often called a "bell curve") is never skewed

- +a) True
- -b) False

13) If an atom emits two photons in a cascade emission and both photons have 2 eV of energy, the atom's energy

- +a) decreases by 4 eV
- -b) increases by 4 eV
- -c) increases by 2 eV
- -d) decreases by 2 eV
- -e) stays the same

14) By definition, a skewed distribution

- -a) contains no outliers
- -b) is broader than an unskewed distribution
- -c) is a "normal" distribution
- -d) includes negative values of the observed variable
- +e) is asymmetric about it's peak value

C(♠,♥) = ?

Assume the dots represent five observations.

- -a) +1
- -b) −2/5
- +c) −1/5
- -d) +2/5
- -e) 0
- -f) +1/5

16) If 10^{18} photons pass through a small hole in your roof every second, how many photons would pass through it if you doubled the diameter?

- +a) 4x10
^{18} - -b) 8x10
^{18} - -c) 2x10
^{18} - -d) 6x10
^{18} - -e) 10
^{18}

17) A photon is polarized at 10° when it encounters a filter oriented at 40°. What is the probability that it is blocked?

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

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

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

19) A linear polarizer selects a component of the electric field. Also, the energy density of light is proportional to the square of the electric field.A 12 mW laser strikes a polarizing filter oriented 60° to the incoming axis of polarization. How much power is passed by the filter?

- -a) 4mW
- -b) 8mW
- +c) 3mW
- -d) 9mW
- -e) 6mW

20) For a binomial distribution with n trials, the variance is σ^{2}=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) 2.2
- +d) 9.9