Exam 5: Discrete Distributions

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The number of finance majors within the School of Business is an example of _______.

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The number of bags arriving on the baggage claim conveyor belt in a 3-minute time period would best be modeled with the _________.

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Aluminum castings are processed in lots of five each.A sample of two castings is randomly selected from each lot for inspection.A particular lot contains one defective casting; and x is the number of defective castings in the sample.P(x=0)is _______.

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The Poisson distribution is being used to approximate a binomial distribution.If n=60 and p=0.02, what value of lambda would be used?

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The Poisson distribution is a continuous distribution which is very useful in solving waiting time problems

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If x is a binomial random variable with n=10 and p=0.8, the mean value of x is _____.

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You are offered an investment opportunity.Its outcomes and probabilities are presented in the following table. P( ) -\ 1,000 40 \ 0 .20 +\ 1,000 .40 Which of the following statements is true?

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The following graph is a binomial distribution with n = 6. The following graph is a binomial distribution with n = 6.   This graph reveals that ____________. This graph reveals that ____________.

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It is known that screws produced by a certain company will be defective with a probability of .01, independently of each other.The company sells the screws in packages of 25 and offers a money-back guarantee that at most, 1 of the 25 screws is defective.Using Poisson approximation for binomial distribution, the probability that the company must replace a package is approximately _________

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Epsilon Manufacturing Company makes a specialized electronic product used in the automotive industry.This product has 4 components, each of which could be defective.So the total number of defects of this product can be 0, 1, 2, 3, or 4.The following table provides the probabilities of the number of defects: Number of defects Probability 0 .508 1 .302 2 .105 3 .080 4 .005 The standard deviation of the number of defects is _______.

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Pinky Bauer, Chief Financial Officer of Harrison Haulers, Inc., suspects irregularities in the payroll system, and orders an inspection of a random sample of vouchers issued since January 1, 2016.A sample of ten vouchers is randomly selected, without replacement, from the population of 2,000 vouchers.Each voucher in the sample is examined for errors and the number of vouchers in the sample with errors is denoted by x.If 20% of the population of vouchers contains errors, the standard deviation of x is ______.

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Both the Poisson and the binomial distributions are discrete distributions and both have a given number of trials.

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Epsilon Manufacturing Company makes a specialized electronic product used in the automotive industry.This product has 4 components, each of which could be defective.So the total number of defects of this product can be 0, 1, 2, 3, or 4.The following table provides the probabilities of the number of defects: Number of defects Probability 0 .508 1 .302 2 .105 3 .080 4 .005 The mean number of defects is _______.

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If x is a binomial random variable with n=10 and p=0.8, the standard deviation of x is _________.

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Suppose that during a given week, 20 new customers have signed up for a specialized service your company provides.Eight of these new customers are automotive companies, and the remaining twelve are financial services firms.If a random sample of 5 of these new customers will be selected for a study of customer satisfaction in one month, what is the probability that 2 of the selected customers are financial services firms?

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If x has a binomial distribution with p = .5, then the distribution of x is ________.

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In a binomial experiment, any single trial contains only two possible outcomes and successive trials are independent.

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On Monday mornings, customers arrive at the coffee shop drive thru at the rate of 6 cars per fifteen-minute interval.Using the Poisson distribution, the probability that five cars will arrive during the next five-minute interval is _____________.

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The Poisson distribution is being used to approximate a binomial distribution.If n=30 and p=0.03, what value of lambda would be used?

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On Monday mornings, customers arrive at the coffee shop drive thru at the rate of 6 cars per fifteen-minute interval.Using the Poisson distribution, the probability that five cars will arrive during the next fifteen-minute interval is _____________.

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