Exam 5: Discrete Probability Distributions

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?

Exhibit 5-12 The police records of a metropolitan area kept over the past 300 days show the following number of fatal accidents. -Refer to Exhibit 5-12. What is the probability that in a given day there will be at least 1 accident?

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 variance for the binomial probability distribution is

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

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. The expected number of goals per game 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?

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?

Which of the following is a required condition for a discrete probability function?

When sampling without replacement, the probability of obtaining a certain sample is best given by a

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

Four percent of the customers of a mortgage company default on their payments. A sample of five customers is selected. What is the probability that exactly two customers in the sample will default on their payments?

Exhibit 5-12 The police records of a metropolitan area kept over the past 300 days show the following number of fatal accidents. -Refer to Exhibit 5-12. What is the probability that in a given day there will be no accidents?

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 5-7 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

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?

A company sells its products to wholesalers in batches of 1,000 units only. The daily demand for its product and the respective probabilities are given below. a.Determine the expected daily demand. b.Assume that the company sells its product at $3.75 per unit. What is the expected daily revenue?

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

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