Exam 5: Discrete Probability Distributions

Affirmative action commitments by industrial organizations have led to an increase in the number of women in executive positions. Satellite Office Systems has vacancies for two executives that it will fill from among four women and six men. This is an example of what type of probability distribution?

Sweetwater & Associates write weekend trip insurance at a very nominal charge. Records show that the probability that a motorist will have an accident during the weekend and file a claim is 0.00555. Suppose they wrote 900 policies for the coming weekend, how many claims could they expect to be filed?

If n = 900 and p = 1/3, determine the mean and standard deviation of this binomial distribution.

The information below is the number of daily emergency assists made to skiers by the volunteer ski team at Alpine Ski Lodge for the last 50 days. To explain, there were 22 days on which there were 2 emergency assists, and 9 days on which there were 3 emergency assists.

A statistic professor finds she averages five e-mail messages per day from students. Assume the number of messages approximates a Poisson distribution. What is the probability that on a randomly selected day she will have no messages?

If n = 100 and p = 1/5, determine the mean and standard deviation of this binomial distribution.

A continuous random variable can assume one of an ______number of values within a specific range.

A company is studying the number of monthly absences among its 125 employees. The following probability distribution shows the likelihood that people were absent 0, 1, 2, 3, 4, or 5 days last month. Given the probability distribution, which of the following predictions is correct?

A statistic professor finds she averages five e-mail messages per day from students. Assume the number of messages approximates a Poisson distribution. What is the probability that on a randomly selected day she will have two messages?

On a very hot summer day, 5 percent of the production employees at Midland States Steel are absent from work. The production employees are to be selected at random for a special in-depth study on absenteeism. What is the probability of selecting 10 production employees at random on a hot summer day and finding that none of them are absent?

A tennis match requires that a player win three of five sets to win the match. If a player wins the first two sets, what is the probability that the player wins the match, assuming that each player is equally likely to win each match?

Which is true for a binomial distribution?

A probability distribution relates the expected outcomes of an experiment to the________of each one occurring.

Sixty percent of the customers of a fast food chain order a hamburger, french fries and a drink. If a random sample of 15 cash register receipts is selected, what is the probability that 10 will show that the above three food items were ordered?

Let X represent the number of children in a Canadian household. The probability distribution of X is as follows: Determine the expected number of children in a randomly selected Canadian household.

Which of the following is NOT a characteristic of a binomial probability distribution?

Sixty percent of the customers of a fast food chain order a hamburger, french fries and a drink. If a random sample of 15 cash register receipts is selected, what is the probability that 10 or more will show that the above three food items were ordered?

The probabilities and the number of automobiles lined up at a Lakeside Olds at opening time (7:30 a.m.) for service are: On a typical day, what is the standard deviation of the number of cars that Lakeside Olds can expect to be lined up at opening?

A true-false test consists of five questions. If you guess the answer to each question, what is the probability of getting three or more questions correct?

In the ___________distribution the probability of a success is not the same on each trail.