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Exam 6: Discrete Probability Distributions

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Question 61

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The mean of a probability distribution is called its expected value.

A) True
B) False

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Question 62

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Which of the following is correct about a probability distribution?

A) The sum of all possible outcomes must equal 1.0.
B) Outcomes must be mutually exclusive.
C) The probability of each outcome must be between 0.0 and 1.0 inclusive.
D) All apply.

E) A) and D)
F) B) and C)

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Question 63

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For the following probability distribution: The mean is _____________.

For any probability distribution, the standard deviation is the ______________.

A random variable represents the outcome of an experiment.

For a trial, the number of possible outcomes for the binomial experiment is _____.

To construct a binomial distribution, it is necessary to know the total number of trials and the probability of success on each trial.

In a Poisson distribution, the variance is equal to ___________.

In a large metropolitan area, past records revealed that 30% of all the high school graduates go to college. From 20 graduates selected at random, what is the probability that exactly 8 will go to college?

Which shape describes a Poisson distribution?

For the following distribution: What is the mean of the distribution?

A farmer who grows genetically engineered corn is experiencing trouble with corn borers. A random check of 5,000 ears revealed the following: Many of the ears contained no borers. Some ears had one borer; A few had two borers, and so on. The distribution of the number of borers per ear approximated the Poisson distribution. The farmer counted 3,500 borers in the 5,000 ears. What is the probability that an ear of corn selected at random will contain no borers?

For a binomial distribution, the mean is 4.0 and n = 8. What is π for this distribution?

A company is studying the number of monthly absences among its 125 employees. The following probability distribution shows the likelihood that people were absent 0, 1, 2, 3, 4, or 5 days last month. What is the standard deviation of the number of days absent?