Exam 5: Discrete Probability Distributions

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

The binomial probability distribution is used with

A random variable that can assume only a finite number of values is referred to as a(n)

The number of bad checks received per day by a store and the respective probabilities are shown below. a.What is the expected number of bad checks received per day? b.Determine the variance in the number of bad checks received per day. c.What is the standard deviation?

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

Exhibit 5-5 Probability Distribution -Refer to Exhibit 5-5.The variance of x equals

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

Exhibit 5-8 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 5-8.The expected value of the random variable x is

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

Exhibit 5-11 A local bottling company has determined the number of machine breakdowns per month and their respective probabilities as shown below: -Refer to Exhibit 5-11.The probability of at least 3 breakdowns in a month is

The weight of an object is an example of

If you are conducting an experiment where the probability of a success is .02 and you are interested in the probability of 4 successes in 15 trials,the correct probability function to use is the

Twenty-five percent of all resumes received by a corporation for a management position are from females.Fifteen resumes will be received tomorrow. a.What is the probability that exactly 5 of the resumes will be from females? b.What is the probability that fewer than 3 of the resumes will be from females? c.What is the expected number of resumes from women? d.What is the variance of the number of resumes from women?

Shoppers enter Hamilton Place Mall at an average of 120 per hour. a.What is the probability that exactly 5 shoppers will enter the mall between noon and 12:05 p.m.? b.What is the probability that at least 35 shoppers will enter the mall between 5:00 and 5:10 p.m.?

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 expected number of days Pete will catch fish is

The following table shows part of the probability distribution for a random variable x. a.The mean of the above distribution is known to be 1.8 . b.Compute the variance and the standard deviation for the above probability distribution.

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 at least 6 are male?

For the following probability distribution: a.Determine E(x). b.Determine the variance and the standard deviation.

Exhibit 5-3 Roth is a computer-consulting firm.The number of new clients that they have obtained each month has ranged from 0 to 6.The number of new clients has the probability distribution that is shown below. -Refer to Exhibit 5-3.The standard deviation is

Exhibit 5-3 Roth is a computer-consulting firm.The number of new clients that they have obtained each month has ranged from 0 to 6.The number of new clients has the probability distribution that is shown below. -Refer to Exhibit 5-3.The expected number of new clients per month is