Exam 5: Discrete Probability Distributions

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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

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The key difference between the binomial and hypergeometric distribution is that with the hypergeometric distribution

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Thirty-two percent of the students in a management class are graduate students. A random sample of 5 students is selected. Using the binomial probability function, determine the probability that the sample contains exactly 2 graduate students?

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The standard deviation of a binomial distribution is

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In a binomial experiment

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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.

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

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The expected value of a random variable is

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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 6 are male?

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

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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?

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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

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The probability distribution for the rate of return on an investment is Rate of Return In Percent) Probability 9.5 .1 9.8 .2 10.0 .3 10.2 .3 10.6 .1 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?

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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?

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Variance is

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Exhibit 5-11 A local bottling company has determined the number of machine breakdowns per month and their respective probabilities as shown below: Number of Breakdowns Prabability 0 0.12 1 0.38 2 0.25 3 0.18 4 0.07 -Refer to Exhibit 5-11. The expected number of machine breakdowns per month is

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The hypergeometric probability distribution is identical to

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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?

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Exhibit 5-12 The police records of a metropolitan area kept over the past 300 days show the following number of fatal accidents. Number of Fatal Accidents Number of Day 0 45 1 75 2 120 3 45 4 15 -Refer to Exhibit 5-12. What is the probability that in a given day there will be no accidents?

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

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