Exam 5: Discrete Probability Distributions

When using Excel's HYPGEOM.DIST function, one should choose TRUE for the fourth input if

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

Exhibit 5-4 A local bottling company has determined the number of machine breakdowns per month and their respective probabilities as shown below. -Refer to Exhibit 5-4. The probability of no breakdowns in a month is

A random variable that can assume only a finite number of values is referred to as a(n)

Exhibit 5-10 The probability that Pete will catch fish on a particular day when he goes fishing is 0.8. Pete is going fishing 3 days next week. -Refer to Exhibit 5-10. The probability that Pete will catch fish on one day or less is

The function used to compute the probability of x successes in n trials, when the trials are dependent, is the

The binomial probability distribution is most symmetric when

Excel's HYPGEOM.DIST function has how many inputs?

Which of the following statements about a discrete random variable and its probability distribution are true?

Exhibit 5-3 The probability distribution for the number of goals the Lions soccer team makes per game is given below. -Refer to Exhibit 5-3. What is the probability that in a given game the Lions will score at least 1 goal?

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.

The random variable x has the following probability distribution: a.Is this probability distribution valid? Explain and list the requirements for a valid probability distribution. b.Calculate the expected value of x. c.Calculate the variance of x. d.Calculate the standard deviation of x.

A binomial probability distribution with p = .3 is

June's Specialty Shop sells designer original dresses. On 10% of her dresses, June makes a profit of $10, on 20% of her dresses she makes a profit of $20, on 30% of her dresses she makes a profit of $30, and on 40% of her dresses she makes a profit of $40. On a given day, the probability of June having no customers is .05, of one customer is .10, of two customers is .20, of three customers is .35, of four customers is .20, and of five customers is .10. a. What is the expected profit June earns on the sale of a dress? b. June's daily operating cost is $40 per day. Find the expected net profit June earns per day. (Hint: To find the expected daily gross profit, multiply the expected profit per dress by the expected number of customers per day.) c. June is considering moving to a larger store. She estimates that doing so will double the expected number of customers. If the larger store will increase her operating costs to $100 per day, should she make the move?

In order to compute a binomial probability we must know all of the following except

Exhibit 5-8 The student body of a large university consists of 60% female students. A random sample of 8 students is selected. -Refer to Exhibit 5-8. What is the probability that among the students in the sample at least 6 are male?

Sandy's Pet Center grooms large and small dogs. It takes Sandy 40 minutes to groom a small dog and 70 minutes to groom a large dog. Large dogs account for 20% of Sandy's business. Sandy has 5 appointments tomorrow. a. What is the probability that all 5 appointments tomorrow are for small dogs? b. What is the probability that two of the appointments tomorrow are for large dogs? c. What is the expected amount of time to finish all five dogs tomorrow?

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.

To compute the probability that in a random sample of n elements, selected without replacement, we will obtain x successes, we would use the

Exhibit 5-10 The probability that Pete will catch fish on a particular day when he goes fishing is 0.8. Pete is going fishing 3 days next week. -Refer to Exhibit 5-10. What is the random variable in this experiment?