Exam 5: Discrete Probability Distributions

Exhibit 5-1 The following represents the probability distribution for the daily demand of microcomputers at a local store. -Refer to Exhibit 5-1. The expected daily demand is

The weight of an object, measured to the nearest gram, is an example of

A life insurance company has determined that each week an average of seven claims is filed in its Nashville branch. a.Define the random variable in words for this experiment. b.What is the probability that during the next week exactly seven claims will be filed? c.What is the probability that during the next week no claims will be filed? d.What is the probability that during the next week fewer than four claims will be filed? e.What is the probability that during the next week at least seventeen claims will be filed?

Exhibit 5-11 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. -Refer to Exhibit 5-11. The appropriate probability distribution for the random variable is

Excel's __________ function can be used to compute the variance of a discrete random variable.

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

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?

When using Excel's POISSON.DIST function, one should choose TRUE for the third input if

Exhibit 5-7 A sample of 2,500 people was asked how many cups of coffee they drink in the morning. You are given the following sample information. -Refer to Exhibit 5-7. The variance of the number of cups of coffee is

In a binomial experiment, the

Two percent of the parts produced by a machine are defective. Forty parts are selected. Define the random variable x to be the number of defective parts. a.What is the probability that exactly 3 parts will be defective? b.What is the probability that the number of defective parts will be more than 2 but fewer than 6? c.What is the probability that fewer than 4 parts will be defective? d.What is the expected number of defective parts? e.What is the variance for the number of defective parts?

To compute the probability that in a random sample of n elements, selected without replacement, we will obtain x successes, we would use the

A numerical description of the outcome of an experiment is called a

Exhibit 5-3 The probability distribution for the number of goals the Lions soccer team makes per game is given below. -Refer to Exhibit 5-3. What is the probability that in a given game the Lions will score no goals?

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

Exhibit 5-11 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. -Refer to Exhibit 5-11. The random variable x satisfies which of the following probability distributions?

Exhibit 5-10 The probability that Pete will catch fish on a particular day when he goes fishing is 0.8. Pete is going fishing 3 days next week. -Refer to Exhibit 5-10. What is the random variable in this experiment?

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 experiment consists of measuring the speed of automobiles on a highway by the use of radar equipment. The random variable in this experiment is speed, measured in miles per hour. This random variable is a

Variance is