Bell152874216166 **This is a** **(published on Wikiversity)**

### Bell:Bell1:V1 edit

Bell152874216166

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

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

3) 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) two of these are true
- e) K♥ and K♣

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

5) The normal distribution (often called a "bell curve") is usually skewed

- a) True
- b) False

6) 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. Unpolarized light impinges on three linear filters. The second is oriented 30° from the first, and the third is rotated by an additional 60°, making it at right angles from the first filter. What fraction of the power incident on the first filter emerges from the last?

- a) 3/16
- b) 1/32
- c) 1/8
- d) 3/32
- e) 1/16

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

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

8) By definition, a skewed distribution

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

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

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

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 σ^{2} 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) 150
- b) 200
- c) 250
- d) 500
- e) 50

Bell152874216166

### Bell:Bell2:V1 edit

Bell152874216166

1) Suppose the referee selects neutral scoring with What is the penalty if the probability of asking the same question is 0.5?

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

2) If the frequency *f* associated with a photon increases by a factor of 4, the photon's wavelength *λ*

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

P(♠,♦) = ?

Assume the dots represent five observations.

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

4) Suppose the referee gives Alice and Bob receive question cards of the same suit (same questions). What are the best and worst possible outcomes for the partners? (Assume for this question that )

- a) None of these is correct
- b) Best for partners: ... Worst:
- c) Best for partners: ... Worst:
- d) Best for partners: ... Worst:
- e) Best for partners: ... Worst:

P(♠,♦)+P(♠,♥)+P(♥,♦) = ?

Assume the dots represent five observations.

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

6) The α-strategy in the couples version of the card game is similar to the strategy introduced in the solitaire version, and calls for

- a) Alice and Bob to sometimes give different answers (one "even" while the other "odd")
- b) Alice and Bob to always answer "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 α-strategy

P(♠,♥) = ?

Assume the dots represent five observations.

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

8) 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

9) A photon is polarized at 5° when it encounters a filter oriented at 35°. What is the probability that it passes?

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

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

Bell152874216166

### Bell:Bell3:V1 edit

Bell152874216166

2) Suppose the referee gives Alice and Bob receive question cards of the different suit (different questions). What are the best and worst possible outcomes for the partners? (Assume for this question that )

- a) None of these is correct
- b) Best for partners: ... Worst:
- c) Best for partners: ... Worst:
- d) Best for partners: ... Worst:
- e) Best for partners: ... Worst:

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

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

- a) 3/32
- b) 1/8
- c) 1/32
- d) 1/16
- e) 3/16

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

6) If an atom absorbs a photon with 4 eV energy, the atom's energy

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

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

- a) 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.
- 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 cheating, but fortunately the penalty allows partners to do it

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

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

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

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

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)

11) 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) 18
- c) 6
- d) 1
- e) 3

12) If an atom absorbs a photon with 2 eV energy, the atom's energy

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

13) For a binomial distribution with n trials, the variance is σ^{2}=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) 3.3
- c) 9.9
- d) 4.4
- e) 2.2

14) 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) 9.9
- c) 1.1
- d) 2.2

C(♠,♦) = ?

Assume the dots represent five observations.

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

P(♠,♥) = ?

Assume the dots represent five observations.

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

17) If the wavelength *λ* associated with a photon is cut in half, the photon's energy *E*

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

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

19) Hold a pendulum a moderate distance from equilibrium and release it by tossing it in a direction perpendicular 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) circular or elliptical
- e) linearly

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 σ^{2} 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) 500
- c) 150
- d) 200
- e) 250