Exam 5: Discrete Probability Distributions

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?

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 expected number of days Pete will catch fish is

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

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?

The binomial probability distribution is used with

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

A weighted average of the value of a random variable, where the probability function provides weights is known as

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?

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.

The demand for a product varies from month to month. Based on the past year's data, the following probability distribution shows MNM company's monthly demand. a.Determine the expected number of units demanded per month. b.Each unit produced costs the company $8.00, and is sold for $10.00. How much will the company gain or lose in a month if they stock the expected number of units demanded, but sell 2000 units?

The weight of an object is an example of

Exhibit 5-11 A local bottling company has determined the number of machine breakdowns per month and their respective probabilities as shown below: -Refer to Exhibit 5-11. The probability of at least 3 breakdowns in a month 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?

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 5-7 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 variance of the number of days Pete will catch fish 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.

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

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

The number of electrical outages in a city varies from day to day. Assume that the number of electrical outages (x) in the city has the following probability distribution. x The mean and the standard deviation for the number of electrical outages (respectively) are

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 expected value of the random variable x is