Exam 6: Discrete Probability Distributions

For the following distribution: What is the variance of the distribution?

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

A company is studying the number of daily debit card purchases. There were 20 purchases and the probability of a debit card purchase is 0.5. What is the standard deviation of the number of debit card purchases?

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?

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 set?

What must you know to develop a binomial probability distribution?

The following is a binomial probability distribution with n = 3 and π = 0.20. The variance of the distribution is _________.

The mean of a Poisson distribution is calculated using ____.

David's gasoline station offers 4 cents off per gallon if the customer pays in cash and does not use a credit card. Past evidence indicates that 40% of all customers pay in cash. During a one-hour period, 15 customers buy gasoline at this station. This situation is an example of what type of discrete probability distribution?

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

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

A random variable with a Poisson distribution has one of _______ mutually exclusive values.

Which one of the following is NOT a condition of the binomial distribution?

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 exactly 10 customers will ask for hot peppers?

In a Poisson distribution, the probability of success may vary from trial to trial.

To construct a binomial probability distribution, the mean must be known.

If n = 900 and π = ⅓, the variance of this binomial distribution is ______.

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?

Chances are 50-50 that a newborn baby will be a girl. For families with five children, what is the probability that all the children are girls?

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?