Exam 6: Discrete Probability Distributions

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A listing of all possible outcomes of an experiment and their corresponding probability of occurrence is called a ____________.

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The binomial probability distribution is always negatively skewed.

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The Poisson distribution or the law of improbable events, is _______________ skewed.

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When sampling is done without replacement and the outcomes are measured as either a success or failure, the hypergeometric distribution should be applied.

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In a Poisson distribution the variance is equal to

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The variance shows the skewness of a probability distribution.

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In the _______________________ distribution, the probability of a success is not the same on each trail.

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When observing a check-out line at a food store, the average number of people served is 30 per hour. Using the Poisson distribution, what is the standard deviation of the number of people served in an hour?

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A continuous random variable can assume one of an ____________ number of values within a specific range.

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When observing a check-out line at a food store, the average number of people served is 30 per hour. Using the Poisson distribution, what is the probability that 20 people check out in any given hour?

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How is the mean of a Poisson distribution calculated? ________

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What is the only variable in the Poisson probability formula?

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The mean of a binomial distribution is the product of n and π\pi .

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If n = 900 and π\pi = ?, what is the variance of this binomial distribution? ________

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A farmer who grows genetically engineered corn is experiencing trouble with corn borers. A random check of 5,000 ears revealed the following: many of the ears contained no borers. Some ears had one borer; a few had two borers; and so on. The distribution of the number of borers per ear approximated the Poisson distribution. The farmer counted 3,500 borers in the 5,000 ears. What is the probability that an ear of corn selected at random will contain no borers?

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As a general rule of thumb, if the items selected for a sample are not replaced and the sample size is less than 5 percent of the population, the binomial distribution can be used to approximate the hypergeometric distribution.

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Affirmative action commitments by many organizations have led to an increase in the number of women in executive positions. Satellite Office Systems has vacancies for two executives that it will fill from among four women and six men. What probability distribution should be applied? ___________

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A manufacturer of headache medicine claims it is 70 percent effective within a few minutes. That is, out of every 100 users 70 get relief within a few minutes. A group of 12 patients are given the medicine. If the claim is true, what is the probability that 8 have relief within a few minutes?

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There are eight flights from Minneapolis to St. Cloud each day. The probability that any one flight is late is 0.10. Using the binomial probability formula, what is the probability that none are late?

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A true-false test consists of six questions. If you guess the answer to each question, what is the probability of getting all six questions correct?

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