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Reading 9: Common Probability Distributions - LOS d, (Part

Q1. Which of the following random variables would be most likely to follow a discrete uniform distribution?

A)     The outcome of a roll of a standard, six-sided die where X equals the number facing up on the die.

B)     The number of heads on the flip of two coins.

C)     The outcome of the roll of two standard, six-sided dice where X is the sum of the numbers facing up.

Q2. The number of days a particular stock increases in a given five-day period is uniformly distributed between zero and five inclusive. In a given five-day trading week, what is the probability that the stock will increase exactly three days?

A)   0.167.

B)   0.333.

C)   0.600.

答案和详解如下:

Q1. Which of the following random variables would be most likely to follow a discrete uniform distribution?

A)     The outcome of a roll of a standard, six-sided die where X equals the number facing up on the die.

B)     The number of heads on the flip of two coins.

C)     The outcome of the roll of two standard, six-sided dice where X is the sum of the numbers facing up.

Correct answer is A)

The discrete uniform distribution is characterized by an equal probability for each outcome. A single die roll is an often-used example of a uniform distribution. In combining two random variables, such as coin flip or die roll outcomes, the sum will not be uniformly distributed.

Q2. The number of days a particular stock increases in a given five-day period is uniformly distributed between zero and five inclusive. In a given five-day trading week, what is the probability that the stock will increase exactly three days?

A)   0.167.

B)   0.333.

C)   0.600.

Correct answer is A)

If the possible outcomes are X0,1,2,3,4,5), then the probability of each of the six outcomes is 1 / 6 = 0.167.

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