# Question

Suppose that the number of accidents occurring in an industrial plant is described by a Poisson distribution with an average of one accident per month. Let x denote the time (in months) between successive accidents.
a. Find the probability that the time between successive accidents is:
(1) More than two months.
(2) Between one and two months.
(3) Less than one week (1 4 of a month).
b. Suppose that an accident occurs less than one week after the plant’s most recent accident. Would you consider this event unusual enough to warrant special investigation? Explain.

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• CreatedMay 28, 2015
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