# 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.

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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