Exam 6: Discrete Probability Distributions

The random variable for a Poisson probability distribution can assume an infinite number of values.

What kind of distributions are the binomial and Poisson probability distributions?

An insurance agent has appointments with four prospective clients tomorrow. From past experience the agent knows that the probability of making a sale on any appointment is one out of five. Using the rules of probability,what is the likelihood that the agent will sell a policy to three of the four prospective clients?

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

A manufacturer of headache medicine claims it is 70% effective within a few minutes. That is,out of every 100 users,70 get relief within a few minutes. A group of 12 patients are given the medicine. If the claim is true,what is the probability that eight have relief within a few minutes?

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

To apply a Poisson probability distribution,the mean can be computed as ________.

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

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

For a binomial distribution,the mean is 0.6 and n = 2. What is π for this distribution?

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 five messages?

The following is a Poisson probability distribution with µ = 0.1. The variance of the distribution is ________.

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. What is the probability that all 15 pay in cash?

A coin is tossed three times. The following table summarizes the experiment. What is the following table called?

A new car was put into production. It involved many assembly tasks. Each car was inspected at the end of the assembly line and the number of defects per unit was recorded. For the first 100 cars produced,there were 40 defective cars. Some of the cars had no defects,a few had one defect,and so on. The distribution of defects followed a Poisson distribution. Based on the first 100 cars produced,about how many out of every 1,000 cars assembled should have one or more defects?

The variance measures the skewness of a probability distribution.

A machine shop has 100 drill presses and other machines in constant use. The probability that a machine will become inoperative during a given day is 0.002. During some days,no machines are inoperative,but on other days,one,two,three,or more are broken down. What is the probability that fewer than two machines will be inoperative during a particular day?

The probability distribution for the number of automobiles lined up at a Lakeside Olds dealer at opening time (7:30 a.m.)for service is: On a typical day,how many automobiles should Lakeside Olds expect to be lined up at opening time?

If the variance is 3.6 grams,what is the standard deviation?