Exam 6: Discrete Probability Distributions

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

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?

In a binomial experiment, the probability of a failure equals _________.

If π = 1/3 and n = 900, the mean of this binomial distribution is ______.

The mean or expected value for a binomial probability distribution is _________.

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. What is the probability that at least one woman is selected?

In a large metropolitan area, past records revealed that 30% of all the high school graduates go to college. From 20 graduates selected at random, what is the probability that exactly 8 will go to college?

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

There are eight flights from Minneapolis to St. Cloud each day. The probability that any one flight is late is 0.10. Using the binomial probability formula, what is the probability that 1 or more are late?

A _______________ random variable can assume only a certain number of separated values.

The arrival of customers at a service desk follows a Poisson distribution. If they arrive at a rate of two every five minutes, what is the probability that no customers arrive in a five-minute period?

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 standard deviation of the number of people served in an hour?

For any probability distribution, the standard deviation is the ______________.

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?

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 more than 8 and less than 12 customers pay in cash?

In a binomial experiment, the probability of a _________ remains constant.

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

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 1 out of 5. Using the rules of probability, what is the likelihood that the agent will sell a policy to 3 of the 4 prospective clients?

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

A probability distribution is a listing of the expected outcomes of an experiment and the probability of each outcome occurring. The sum of the probabilities is ______.