Exam 6: Discrete Probability Distributions

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The following is a Poisson probability distribution with µ = 0.1. The following is a Poisson probability distribution with µ = 0.1.   The mean of the distribution is _____. The mean of the distribution is _____.

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

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A company is studying the number of daily debit card purchases. There were 20 purchases and the probability of a debit card purchase is 0.5. Based on the shape of the distribution, approximately 99.7% of the purchases should be between _______ and ________.

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When sampling is done without replacement and the outcomes are measured as either a success or failure, the hypergeometric distribution should be applied.

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The mean of a binomial distribution is the product of n and π.

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For the following probability distribution: For the following probability distribution:   The standard deviation is _____________. The standard deviation is _____________.

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A binomial probability distribution approaches a greater degree of symmetry as the probability of success remains constant and the number of trials becomes ___________.

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The production department has installed a new spray machine to paint automobile doors. As is common with most spray guns, unsightly blemishes often appear because of improper mixture or other problems. A worker counted the number of blemishes on each door. Most doors had no blemishes; a few had one; a very few had two; and so on. The average number was 0.5 per door. The distribution of blemishes followed the Poisson distribution. Out of 10,000 doors painted, about how many would have no blemishes?

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The following is a binomial probability distribution with n = 3 and π = 0.20. The following is a binomial probability distribution with n = 3 and π = 0.20.   The mean of the distribution is _______. The mean of the distribution is _______.

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The following is a binomial probability distribution with n = 3 and π = 0.20. The following is a binomial probability distribution with n = 3 and π = 0.20.   The variance of the distribution is _________. The variance of the distribution is _________.

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In a Poisson distribution, the probability of success may vary from trial to trial.

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The variance of a binomial distribution is found by nπ(1 - π).

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For the following distribution: For the following distribution:   What is the variance of the distribution? What is the variance 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 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 variance of the number of days absent? What is the variance of the number of days absent?

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The mean of a Poisson distribution is calculated using ____.

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Elly's Hotdog Emporium is famous for its chilidogs. Elly's latest sales indicate that 30% of the customers order their chilidogs with hot peppers. Suppose 15 customers are selected at random. What is the probability that between two and six people inclusive want hot peppers?

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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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In a Poisson distribution, the mean and variance are ________________.

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What is unique to the Poisson distribution?

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