Exam 5: Discrete Distributions

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A manufacturer of cans of soda pop weights every 10th can to determine if the production line is working properly.The number of cans weighed in an hour would be an example of ___________.

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The probability of selecting 3 female employees and 7 male employees to win a promotional trip a company with 10 female and 50 male employees would best be modeled with the _______.

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Poisson distribution describes the occurrence of discrete events that may occur over a continuous interval of time or space.

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The speed at which a jet plane can fly is an example of _________.

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The volume of liquid in an unopened 1-gallon can of paint is an example of _________.

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A market research team compiled the following discrete probability distribution for families residing in Randolph County.In this distribution, x represents the number of evenings the family dines outside their home during a week. x P(x) 0 0.30 1 0.50 2 0.10 3 0.10 The mean (average)value of x is _______________.

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The hypergeometric distribution must be used instead of the binomial distribution when ______

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To compute the variance of a discrete distribution, it is not necessary to know the mean of the distribution.

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From recent polls about customer satisfaction, you know that 85% of the clients of your company are highly satisfied and want to renew their contracts.If you select a random sample of 30 clients, what is the probability that at least one client is dissatisfied?

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Circuit boards for wireless telephones are etched, in an acid bath, in batches of 100 boards.A sample of seven boards is randomly selected from each lot for inspection.A particular batch contains two defective boards; and x is the number of defective boards in the sample.P(x=0)is _______.

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Assume that a random variable has a Poisson distribution with a mean of 5 occurrences per ten minutes.The number of occurrences per hour follows a Poisson distribution with λ equal to _________

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A recent analysis of the number of rainy days per month found the following outcomes and probabilities. Namber of Raining Days (x) (x) 3 .40 4 .20 5 .40 The mean of this distribution is _____________.

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One hundred policyholders file claims with CareFree Insurance.Ten of these claims are fraudulent.Claims manager Earl Evans randomly selects four of the one hundred claims for thorough investigation.If x represents the number of fraudulent claims in Earl's sample, x has a _______________.

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Suppose an interdisciplinary committee of 3 faculty members is to be selected from a group consisting of 4 men and 5 women.The probability that all three of the selected faculty are men is approximately _______

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The mean or the expected value of a discrete distribution is the long-run average of the occurrences.

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Ten policyholders file claims with CareFree Insurance.Three of these claims are fraudulent.Claims manager Earl Evans randomly selects three of the ten claims for thorough investigation.If x represents the number of fraudulent claims in Earl's sample, P(x=1)is _______________.

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The time between customer arrivals at a deli counter during a 2-hour lunch period would be an example of _____________.

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The amount of time a patient waits in a doctor's office is an example of a continuous random variable

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A manufacturer of cans of soda pop weighs every 10th can to determine if the production line is working properly.The weight of the cans would be an example of ___________.

(Multiple Choice)
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The probability of selecting 2 baseball players and 3 basketball players for an intermural competition at a small sports camp would best be modeled with the _______.

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