Exam 5: Discrete Probability Distributions

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A weighted average of the value of a random variable, where the probability function provides weights is known as

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The probability distribution of the daily demand for a product is shown below. The probability distribution of the daily demand for a product is shown below.     a.What is the expected number of units demanded per day? b.Determine the variance and the standard deviation. a.What is the expected number of units demanded per day? b.Determine the variance and the standard deviation.

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The Poisson probability distribution is used with

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The variance is a measure of dispersion or variability of a random variable. It is a weighted average of the

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Assume that you have a binomial experiment with p = 0.5 and a sample size of 100. The expected value of this distribution is

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The student body of a large university consists of 30% Business majors. A random sample of 20 students is selected. a.What is the probability that among the students in the sample at least 10 are Business majors? b.What is the probability that at least 16 are not Business majors? c.What is the probability that exactly 10 are Business majors? d.What is the probability that exactly 12 are not Business majors?

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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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The key difference between the binomial and hypergeometric distribution is that with the hypergeometric distribution

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Fifty-five percent of the applications received for a particular credit card are accepted. Among the next twelve applications, a.what is the probability that all will be rejected? b.what is the probability that all will be accepted? c.what is the probability that exactly 4 will be accepted? d.what is the probability that fewer than 3 will be accepted? e. Determine the expected number and the variance of the accepted applications.

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General Hospital has noted that they admit an average of 8 patients per hour. a.What is the probability that during the next hour less then 3 patients will be admitted? b.What is the probability that during the next two hours exactly 8 patients will be admitted?

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Ten percent of the items produced by a machine are defective. Out of 15 items chosen at random, a.what is the probability that exactly 3 items will be defective? b.what is the probability that less than 3 items will be defective? c.what is the probability that exactly 11 items will be non-defective?

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Exhibit 5-7 The probability that Pete will catch fish when he goes fishing is .8. Pete is going to fish 3 days next week. Define the random variable X to be the number of days Pete catches fish. -Refer to Exhibit 5-7. The probability that Pete will catch fish on one day or less is

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The demand for a product varies from month to month. Based on the past year's data, the following probability distribution shows MNM company's monthly demand. The demand for a product varies from month to month. Based on the past year's data, the following probability distribution shows MNM company's monthly demand.    a.Determine the expected number of units demanded per month. b.Each unit produced costs the company $8.00, and is sold for $10.00. How much will the company gain or lose in a month if they stock the expected number of units demanded, but sell 2000 units? a.Determine the expected number of units demanded per month. b.Each unit produced costs the company $8.00, and is sold for $10.00. How much will the company gain or lose in a month if they stock the expected number of units demanded, but sell 2000 units?

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A production process produces 90% non-defective parts. A sample of 10 parts from the production process is selected. a.What is the probability that the sample will contain 7 non-defective parts? b.What is the probability that the sample will contain at least 4 defective parts? c.What is the probability that the sample will contain less than 5 non-defective parts? d.What is the probability that the sample will contain no defective parts?

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The following probability distribution represents the number of grievances filed per month with the MNM. Corporation. The following probability distribution represents the number of grievances filed per month with the MNM. Corporation.     a.Determine the expected value of the number of grievances in a month. b.Determine the variance. c.Compute the standard deviation. a.Determine the expected value of the number of grievances in a month. b.Determine the variance. c.Compute the standard deviation.

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A measure of the average value of a random variable is called a(n)

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Thirty-two percent of the students in a management class are graduate students. A random sample of 5 students is selected. Using the binomial probability function, determine the probability that the sample contains exactly 2 graduate students?

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A local university reports that 10% of their students take their general education courses on a pass/fail basis. Assume that fifteen students are registered for a general education course. a.What is the expected number of students who have registered on a pass/fail basis? b.What is the probability that exactly five are registered on a pass/fail basis? c.What is the probability that more than four are registered on a pass/fail basis? d.What is the probability that less than two are registered on a pass/fail basis?

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Twenty percent of the students in a class of 100 are planning to go to graduate school. The standard deviation of this binomial distribution is

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Twenty-five percent of the employees of a large company are minorities. A random sample of 7 employees is selected. a.What is the probability that the sample contains exactly 4 minorities? b.What is the probability that the sample contains fewer than 2 minorities? c.What is the probability that the sample contains exactly 1 non-minority? d.What is the expected number of minorities in the sample? e. What is the variance of the minorities?

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