Exam 5: Discrete Probability Distributions

Exhibit 5-10 The probability distribution for the number of goals the Lions soccer team makes per game is given below. Number Of Goals Prabability 0 0.05 1 0.15 2 0.35 3 0.30 4 015 -Refer to Exhibit 5-10. What is the probability that in a given game the Lions will score less than 3 goals?

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

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

The probability function for the number of insurance policies John will sell to a customer is given by fX) = .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?

Exhibit 5-9 The probability distribution for the daily sales at Michael's Co. is given below. Daily Sales In \ 1,000 s) Probability 40 0.1 50 0.4 60 0.3 70 0? -Refer to Exhibit 5-9. The expected daily sales are

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

A probability distribution showing the probability of x successes in n trials, where the probability of success does not change from trial to trial, is termed a

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

Twenty percent of the applications received for a particular position are rejected. What is the probability that among the next fourteen applications, a. none will be rejected? b. all will be rejected? c. less than 2 will be rejected? d. more than four will be rejected? e. Determine the expected number of rejected applications and its variance.

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

Exhibit 5-10 The probability distribution for the number of goals the Lions soccer team makes per game is given below. Number Of Goals Prabability 0 0.05 1 0.15 2 0.35 3 0.30 4 015 -Refer to Exhibit 5-10. What is the probability that in a given game the Lions will score no goals?

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?

The binomial probability distribution is used with

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. Production Per Month Probability ) 1 0.01 2 0.04 3 0.10 4 0.80 5 005 -Refer to Exhibit 5-13. the expected monthly production level is

The number of bad checks received per day by a store and the respective probabilities are shown below. Number of Bad Checks Received Per Day Probability 0 0.04 1 0.06 2 0.10 3 0.30 4 0.20 5 0.15 6 0.10 7 0.05 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?

Exhibit 5-1 The following represents the probability distribution for the daily demand of computers at a local store. Demand Probability 0 0.1 1 0.2 2 0.3 3 0.2 4 0? -Refer to Exhibit 5-1. The expected daily demand 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 random variable x satisfies which of the following Discrete Probability Distributions?

The expected value of a discrete random variable

For the following probability distribution: 0 0.01 1 0.02 2 0.10 3 0.35 4 0.20 5 0.11 6 0.08 7 0.05 8 0.04 9 0.03 10 0.01 a. Determine Ex). b. Determine the variance and the standard deviation.

Assume that you have a binomial experiment with p = 0.3 and a sample size of 100. The value of the variance is