Exam 6: Discrete Probability Distributions

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?

A probability distribution shows the outcomes of an experiment and the ___________________ of each one occurring.

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

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?

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?

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 mode of the distribution?

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

Which is true for a binomial 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?

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 probability that 10 people check out in any given hour?

There are 10 flights from Minneapolis to St. Cloud each day. The probability that any one flight is late is 0.05. Using the binomial probability formula, what is the probability that none are late?

A type of probability distribution that shows the probability of x successes in n trials, where the probability of success remains the same from trial to trial, is referred to as a ___________.

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?

For the following probability distribution: The variance is _____________.

A continuous random variable can assume one of a(n) ____________ number of values within a specific range.

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?

For the following probability distribution: The mean is _____________.

A probability distribution shows the distribution of a ______________.

In a Poisson distribution, each trial is ___________________.

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