Exam 5: Discrete Probability Distributions

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The random variable x is the number of occurrences of an event over an interval of ten minutes. It can be assumed that the probability of an occurrence is the same in any two time periods of an equal length. It is known that the mean number of occurrences in ten minutes is 5.3. The probability that there are 8 occurrences in ten minutes is

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The student body of a large university consists of 60% female students. A random sample of 8 students is selected. What is the probability that among the students in the sample exactly two are male?

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Three percent of the customers of a mortgage company default on their payments. A sample of five customers is selected. What is the probability that exactly two customers in the sample will default on their payments?

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The probability distribution for the daily sales at Michael's Co. is given below. The probability distribution for the daily sales at Michael's Co. is given below.   ​ The probability of having sales of no more than $60,000 is ​ The probability of having sales of no more than $60,000 is

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Forty-four percent of all registered voters in a national election are female. A random sample of 5 voters is selected. The probability that the sample contains 2 female voters is

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The probability that Pete will catch fish when he goes fishing is .88. Pete is going to fish 3 days next week. Define the random variable x to be the number of days Pete catches fish. The variance of the number of days Pete will catch fish is

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Experiments with repeated independent trials will be described by the binomial distribution if​

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Which of the following is not a characteristic of an experiment where the binomial probability distribution is applicable?

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A name closely associated with the binomial probability distribution is​

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Which of the following is a characteristic of an experiment where the binomial probability distribution is applicable?

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The following represents the probability distribution for the daily demand of computers at a local store. The following represents the probability distribution for the daily demand of computers at a local store.   ​ The expected daily demand is ​ The expected daily demand is

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Assume that you have a binomial experiment with p = 0.4 and a sample size of 150. The variance of this distribution is

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In a binomial experiment the probability of success is 0.05. What is the probability of two successes in seven trials?

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The _____ probability function is based in part on the counting rule for combinations.​

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The probability distribution for the number of goals the Lions soccer team makes per game is given below. The probability distribution for the number of goals the Lions soccer team makes per game is given below.   ​ What is the probability that in a given game the Lions do not score more than 2 goals? ​ What is the probability that in a given game the Lions do not score more than 2 goals?

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A binomial probability distribution with p = .3 is​

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The binomial probability distribution is used with a(n) _____ random variable.

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The random variable x is the number of occurrences of an event over an interval of ten minutes. It can be assumed that the probability of an occurrence is the same in any two time periods of an equal length. It is known that the mean number of occurrences in ten minutes is 5.3. The probability that there are less than 3 occurrences is

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A probability distribution showing the probability of x successes in n trials, where the probability of success does not change from trial to trial, is termed a

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The random variable x is the number of occurrences of an event over an interval of ten minutes. It can be assumed that the probability of an occurrence is the same in any two time periods of an equal length. It is known that the mean number of occurrences in ten minutes is 5.3. The appropriate probability distribution for the random variable is

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