Exam 6: Discrete Probability Distributions

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

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For the following probability distribution: For the following probability distribution:   The mean is _____________. The mean is _____________.

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

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

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

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Which of the following is correct about a probability distribution?

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

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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?

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

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A random variable represents the outcome of an experiment.

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

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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. 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? What is the standard deviation of the number of days absent?

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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?

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Which shape describes a Poisson distribution?

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