Exam 6: Discrete Probability Distributions

A listing of all possible outcomes of an experiment and their corresponding probabilities of occurrence is called a ____________.

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. What is the mean number of days absent?

The arrival of customers at a service desk follows a Poisson distribution. If they arrive at a rate of four every five minutes, what is the probability that more than four customers arrive in a five-minute period?

When observing a checkout line at a food store, the average number of people served is 15 per hour. Using the Poisson distribution, what is the standard deviation of the number of people served in an hour?

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

For a binomial distribution, the mean is 4.0 and n = 8. What is π for this distribution?

Affirmative action commitments by many 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. To do this, the _______ probability distribution should be applied.

A statistics professor receives an average of 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?

Which of the following is correct about a probability distribution?

What must you know to develop a binomial probability distribution?

For the following probability distribution: The standard deviation is _____________.

A true/false test consists of six questions. If you guess the answer to each question, what is the probability of getting all six questions correct?

When observing a checkout line at a food store, the average number of people served is 30 per hour. Using the Poisson distribution, what is the probability that 20 people check out in any given hour?

A statistics professor receives an average of 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?

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 0.0005. Suppose they wrote 400 policies for the coming weekend, what is the probability that exactly two claims will be filed?

Elly's Hotdog Emporium is famous for its chilidogs. Elly's latest sales indicate that 30% of the customers order their chilidogs with hot peppers. Suppose 15 customers are selected at random. What is the probability that all 15 will want hot peppers?

A total of 60% 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?

Which shape describes a Poisson distribution?

In which of the following discrete distribution does the probability of a success vary from one trial to the next?

For any probability distribution, the mean is calculated as a weighted mean. The weights are the ______________.