Exam 5: Discrete Probability Distributions

The management of a grocery store has kept a record of bad checks received per day for a period of 200 days. The data are shown below. a.Develop a probability distribution for the above data. b.Is the probability distribution that you found in Part "a" a proper probability distribution? Explain. c.Determine the cumulative probability distribution F(x). d.What is the probability that in a given day the store receives four or less bad checks? e.What is the probability that in a given day the store receives more than 3 bad checks?

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 variance is

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

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

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 5-8 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 probability that there are less than 3 occurrences is

When dealing with the number of occurrences of an event over a specified interval of time or space, the appropriate probability distribution is a

Assume that you have a binomial experiment with p = 0.4 and a sample size of 50. The variance of this distribution is

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

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?

Twenty percent of the students in a class of 100 are planning to go to graduate school. The standard deviation of this binomial distribution is

A continuous random variable may assume

The standard deviation of a binomial distribution is

The following probability distribution represents the number of grievances filed per month with the MNM. Corporation. a.Determine the expected value of the number of grievances in a month. b.Determine the variance. c.Compute the standard deviation.

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

Seven students have applied for merit scholarships. This year 3 merit scholarships were awarded. If a random sample of 3 applications (from the population of 7) is selected, a.what is the probability that 2 students were recipients of scholarships? b.what is the probability that no students were the recipients of scholarship?

Exhibit 5-6 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 5-6. The variance of the number of cups of coffee is

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

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

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. What is the probability that in a given game the Lions will score less than 3 goals?