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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? describe.

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