Suppose that the number of accidents occurring in an industrial plant is described by a Poisson distribution with Page 366 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 (14 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