Exam 5: Discrete Probability Distributions

General Hospital has noted that they admit an average of 8 patients per hour. a.What is the probability that during the next hour less then 3 patients will be admitted? b.What is the probability that during the next two hours exactly 8 patients will be admitted?

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.The expected number of goals per game is

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?

Exhibit 5-4 Forty percent of all registered voters in a national election are female.A random sample of 5 voters is selected. -Refer to Exhibit 5-4.The probability that the sample contains 2 female voters is

A production process produces 2% defective parts.A sample of 5 parts from the production is selected.What is the probability that the sample contains exactly two defective parts? Use the binomial probability function and show your computations to answer this question.

A continuous random variable may assume

Which of the following is not a characteristic of an experiment where the binomial probability distribution is applicable?

Twenty percent of the applications received for a particular position are rejected.What is the probability that among the next fourteen applications, a.none will be rejected? b.all will be rejected? c.less than 2 will be rejected? d.more than four will be rejected? e.Determine the expected number of rejected applications and its variance.

A measure of the average value of a random variable is called a(n)

Exhibit 5-8 The random variable x is the number of occurrences of an event over an interval of ten minutes.It can be assumed that the probability of an occurrence is the same in any two-time periods of an equal length.It is known that the mean number of occurrences in ten minutes is 5.3. -Refer to Exhibit 5-8.The probability that there are 8 occurrences in ten minutes is

The standard deviation is the

Exhibit 5-3 Roth is a computer-consulting firm.The number of new clients that they have obtained each month has ranged from 0 to 6.The number of new clients has the probability distribution that is shown below. -Refer to Exhibit 5-3.The variance is

Which of the following is not a required condition for a discrete probability function?

An experiment consists of making 80 telephone calls in order to sell a particular insurance policy.The random variable in this experiment is a

In a binomial experiment the probability of success is 0.06.What is the probability of two successes in seven trials?

The probability distribution for the rate of return on an investment is a.What is the probability that the rate of return will be at least 10%? b.What is the expected rate of return? c.What is the variance of the rate of return?

Which of the following is not a property of a binomial experiment?

Exhibit 5-8 The random variable x is the number of occurrences of an event over an interval of ten minutes.It can be assumed that the probability of an occurrence is the same in any two-time periods of an equal length.It is known that the mean number of occurrences in ten minutes is 5.3. -Refer to Exhibit 5-8.The probability that there are less than 3 occurrences is

The hypergeometric probability distribution is identical to

Exhibit 5-1 The following represents the probability distribution for the daily demand of computers at a local store. -Refer to Exhibit 5-1.The probability of having a demand for at least two computers is