Exam 5: Discrete Probability Distributions

A retailer of electronic equipment received six VCRs from the manufacturer. Three of the VCRs were damaged in the shipment. The retailer sold two VCRs to two customers. a.Can a binomial formula be used for the solution of the above problem? b.What kind of probability distribution does the above satisfy, and is there a function for solving such problems? c.What is the probability that both customers received damaged VCRs? d.What is the probability that one of the two customers received a defective VCR?

An experiment consists of making 80 telephone calls in order to sell a particular insurance policy. The random variable in this experiment is a

Variance is

The Poisson probability distribution is a

The expected value for a binomial probability distribution is

In a binomial experiment the probability of success is 0.06. What is the probability of two successes in seven trials?

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

Which of the following is not a property of a binomial experiment?

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 no breakdowns in a month is

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

X is a random variable with the probability function: f(X) = X/6 for X = 1, 2 or 3 The expected value of X is

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 appropriate probability distribution for the random variable is

The standard deviation is the

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 exactly one day is

Which of the following is not a required condition for a discrete probability function?

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

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

The standard deviation of a binomial distribution is

The average number of calls received by a switchboard in a 30-minute period is 15. a.What is the probability that between 10:00 and 10:30 the switchboard will receive exactly 10 calls? b.What is the probability that between 10:00 and 10:30 the switchboard will receive more than 9 calls but fewer than 15 calls? c.What is the probability that between 10:00 and 10:30 the switchboard will receive fewer than 7 calls?

Exhibit 5-9 The probability distribution for the daily sales at Michael's Co. is given below. -Refer to Exhibit 5-9. The expected daily sales are