Exam 5: Discrete Probability Distributions

Exhibit 5-13 Oriental Reproductions,Inc.is a company that produces handmade carpets with oriental designs.The production records show that the monthly production has ranged from 1 to 5 carpets.The production levels and their respective probabilities are shown below. -Refer to Exhibit 5-13.The standard deviation for the production is

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?

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?

The Poisson probability distribution is used with

The expected value for a binomial probability distribution is

The probability function for the number of insurance policies John will sell to a customer is given by f(X)= .5 - (X/6)for X = 0,1,or 2 a.Is this a valid probability function? Explain your answer. b.What is the probability that John will sell exactly 2 policies to a customer? c.What is the probability that John will sell at least 2 policies to a customer? d.What is the expected number of policies John will sell? e.What is the variance of the number of policies John will sell?

An insurance company has determined that each week an average of nine claims are filed in their Atlanta branch.What is the probability that during the next week a.exactly seven claims will be filed? b.no claims will be filed? c.less than four claims will be filed? d.at least eighteen claims will be filed?

Exhibit 5-2 The student body of a large university consists of 60% female students.A random sample of 8 students is selected. -Refer to Exhibit 5-2.What is the probability that among the students in the sample exactly two are female?

In the textile industry,a manufacturer is interested in the number of blemishes or flaws occurring in each 100 feet of material.The probability distribution that has the greatest chance of applying to this situation is the

The Poisson probability distribution is a

Exhibit 5-10 The probability distribution for the number of goals the Lions soccer team makes per game is given below. -Refer to Exhibit 5-10.What is the probability that in a given game the Lions will score at least 1 goal?

The expected value of a discrete random variable

The standard deviation of a binomial distribution is

Variance is

A random variable x has the following probability distribution: a.Determine the expected value of x. b.Determine the variance.

Exhibit 5-13 Oriental Reproductions,Inc.is a company that produces handmade carpets with oriental designs.The production records show that the monthly production has ranged from 1 to 5 carpets.The production levels and their respective probabilities are shown below. -Refer to Exhibit 5-13.the expected monthly production level is

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?

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.

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?

The expected value of a random variable is