## Introduction to Probability and Statistics, 14th Edition by William Mendenhall – Test Bank

MBB.IntroProb13.ch05sec3

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1. The Poisson probability distribution is an example of continuous probability distribution.

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2. The probability distribution of a Poisson random variable provides a good model for data that represent the number of occurrences of a specified event in a given unit of time or space.

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3. In a Poisson problem, x represents the number of events occurring in a period of time or space during which an average of such events can be expected to occur.

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4. The Poisson probability distribution provides good approximations to binomial probabilities when n is large and is small, preferably with np < 7.

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5. The Poisson distribution is applied to events for which the probability of occurrence over a given span of time, space, or distance is large.

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6. The mean and variance of the Poisson distribution are equal.

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7. Poisson distribution is appropriate to determine the probability of a given number of defective items in a shipment.

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8. The Poisson distribution is applied to events for which the probability of occurrence over a given span of time, space, or distance is very small.

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9. The mean of a Poisson distribution, where is the average number of successes occurring in a specified interval, is .

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10. The Poisson probability distribution is an example of a continuous probability distribution.

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