Exam 6: Discrete Probability Distributions

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In a binomial, hypergeometric, and Poisson distribution, the random variable is ______________.

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In a large metropolitan area, past records revealed that 30 percent 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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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.   Given the probability distribution, which of the following predictions is correct? Given the probability distribution, which of the following predictions is correct?

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Explain the difference between the application of the binomial and the hypergeometric probability distributions.

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For the hypergeometric distribution there are ________________ possible outcomes.

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If the variance is 3.6 grams, what is the standard deviation?

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Which of the following is correct about a probability distribution?

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For any probability distribution, the mean is calculated as a weighted mean. The weights are the ______________.

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A statistics professor receives an average of five e-mail messages per day from students. Assume the number of messages approximates a Poisson distribution. What is the probability that on a randomly selected day she will have two messages?

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Sixty percent of the customers of a fast food chain order a hamburger, french fries and a drink. If a random sample of 15 cash register receipts is selected, what is the probability that 10 or more will show that the above three food items were ordered?

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A random variable represents the outcomes of an experiment.

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An insurance agent has appointments with four prospective clients tomorrow. From past experience the agent knows that the probability of making a sale on any appointment is 1 out of 5. Using the rules of probability, what is the likelihood that the agent will sell a policy to 3 of the 4 prospective clients?

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What kind of distribution are the binomial and Poisson distributions?

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The random variable for a Poisson probability distribution can assume an infinite number of values.

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On a very hot summer day, 5 percent of the production employees at Midland States Steel are absent from work. The production employees are randomly selected for a special in-depth study on absenteeism. What is the probability of randomly selecting 10 production employees on a hot summer day and finding that none of them are absent?

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To construct a binomial probability distribution, the mean must be known.

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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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There are ten flights from Minneapolis to St. Cloud each day. The probability that any one flight is late is 0.05. Using the binomial probability formula, what is the probability that 1 or more are late?

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

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Elly's hot dog emporium is famous for its chilidogs. Elly's latest sales indicate that 30% of the customers order their chilidogs with hot peppers. Suppose 18 customers are selected at random. What is the probability that between two and six people inclusive want hot peppers? ________

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