Exam 5: Discrete Probability Distributions

Shoppers enter Hamilton Place Mall at an average of 120 per hour. a.What is the probability that exactly 5 shoppers will enter the mall between noon and 12:05 p.m.? b.What is the probability that at least 35 shoppers will enter the mall between 5:00 and 5:10 p.m.?

In the textile industry, a manufacturer is interested in the number of blemishes or flaws occurring in each 100 feet of material. The probability distribution that has the greatest chance of applying to this situation is the

A numerical description of the outcome of an experiment is called a

An insurance company has determined that each week an average of nine claims are filed in their Atlanta branch. What is the probability that during the next week a.exactly seven claims will be filed? b.no claims will be filed? c.less than four claims will be filed? d.at least eighteen claims will be filed?

Exhibit 5-9 The probability distribution for the daily sales at Michael's Co. is given below. -Refer to Exhibit 5-9. The probability of having sales of at least $50,000 is

The binomial probability distribution is used with

The probability function for the number of insurance policies John will sell to a customer is given by f(X) = .5 - (X/6) for X = 0, 1, or 2 a.Is this a valid probability function? Explain your answer. b.What is the probability that John will sell exactly 2 policies to a customer? c.What is the probability that John will sell at least 2 policies to a customer? d.What is the expected number of policies John will sell? e. What is the variance of the number of policies John will sell?

Exhibit 5-2 The student body of a large university consists of 60% female students. A random sample of 8 students is selected. -Refer to Exhibit 5-2. What is the probability that among the students in the sample at least 7 are female?

An experiment consists of determining the speed of automobiles on a highway by the use of radar equipment. The random variable in this experiment is a

Exhibit 5-5 Probability Distribution -Refer to Exhibit 5-5. The variance of x equals

When sampling without replacement, the probability of obtaining a certain sample is best given by a

A salesperson contacts eight potential customers per day. From past experience, we know that the probability of a potential customer making a purchase is .10. a.What is the probability the salesperson will make exactly two sales in a day? b.What is the probability the salesperson will make at least two sales in a day? c.What percentage of days will the salesperson not make a sale? d.What is the expected number of sales per day?

Determine the probability of being dealt 4 kings in a 5-card poker hand.

A probability distribution showing the probability of x successes in n trials, where the probability of success does not change from trial to trial, is termed a

Which of the following is a required condition for a discrete probability function?

The number of bad checks received per day by a store and the respective probabilities are shown below. a.What is the expected number of bad checks received per day? b.Determine the variance in the number of bad checks received per day. c.What is the standard deviation?

Exhibit 5-10 The probability distribution for the number of goals the Lions soccer team makes per game is given below. -Refer to Exhibit 5-10. What is the probability that in a given game the Lions will score at least 1 goal?

If you are conducting an experiment where the probability of a success is .02 and you are interested in the probability of 4 successes in 15 trials, the correct probability function to use is the

Exhibit 5-12 The police records of a metropolitan area kept over the past 300 days show the following number of fatal accidents. -Refer to Exhibit 5-12. What is the probability that in a given day there will be less than 3 accidents?

When dealing with the number of occurrences of an event over a specified interval of time or space, the appropriate probability distribution is a