Exam 5: Discrete Probability Distributions

Exhibit 5-7 The probability that Pete will catch fish when he goes fishing is .8.Pete is going to fish 3 days next week.Define the random variable X to be the number of days Pete catches fish. -Refer to Exhibit 5-7.The probability that Pete will catch fish on exactly one day is

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

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

In a large corporation,65% of the employees are male.A random sample of five employees is selected.Use the Binomial probability tables to answer the following questions. a.What is the probability that the sample contains exactly three male employees? b.What is the probability that the sample contains no male employees? c.What is the probability that the sample contains more than three female employees? d.What is the expected number of female employees in the sample?

In a binomial experiment

When a particular machine is functioning properly,80% of the items produced are non-defective.If three items are examined,what is the probability that one is defective? Use the binomial probability function to answer this question.

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 no accidents?

A company sells its products to wholesalers in batches of 1,000 units only.The daily demand for its product and the respective probabilities are given below. a.Determine the expected daily demand. b.Assume that the company sells its product at $3.75 per unit.What is the expected daily revenue?

A cosmetics salesperson,who calls potential customers to sell her products,has determined that 30% of her telephone calls result in a sale.Determine the probability distribution for her next three calls.Note that the next three calls could result in 0,1,2,or 3 sales.

Which of the following is a characteristic of a binomial experiment?

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 there are no females in the sample is

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 random variable x satisfies which of the following Discrete Probability Distributions?

In a large university,75% of students live in dormitories.A random sample of 5 students is selected.Use the binomial probability tables to answer the following questions. a.What is the probability that the sample contains exactly three students who live in the dormitories? b.What is the probability that the sample contains no students who lives in the dormitories? c.What is the probability that the sample contains more than three students who do not live in the dormitories? d.What is the expected number of students (in the sample)who do not live in the dormitories?

The following probability distribution represents the number of grievances filed per month with the MNM.Corporation. a.Determine the expected value of the number of grievances in a month. b.Determine the variance. c.Compute the standard deviation.

A random variable that may take on any value in an interval or collection of intervals is known as a

Exhibit 5-6 A sample of 2,500 people was asked how many cups of coffee they drink in the morning.You are given the following sample information. -Refer to Exhibit 5-6.The variance of the number of cups of coffee is

On the average,6.7 cars arrive at the drive-up window of a bank every hour.Define the random variable X to be the number of cars arriving in any hour. a.What is the appropriate probability distribution for X? Explain how X satisfies the properties of the distribution. b.Compute the probability that exactly 5 cars will arrive in the next hour. c.Compute the probability that no more than 5 cars will arrive in the next hour.

The number of customers that enter a store during one day is an example of

Four percent of the customers of a mortgage company default on their payments.A sample of five customers is selected.What is the probability that exactly two customers in the sample will default on their payments?

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