# Question: Suppose that the number of accidents occurring in an industrial

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.

**View Solution:**## Answer to relevant Questions

Discuss how a normal probability plot is constructed. Suppose that the random variable x has a uniform distribution with c = 2 and d = 8. a. Write the formula for the probability curve of x, and write an interval that gives the possible values of x. b. Graph the probability ...A machine is used to cut a metal automobile part to its desired length. The machine can be set so that the mean length of the part will be any value that is desired. The standard deviation of the lengths always runs at .02 ...In an article in Advertising Age, Nancy Giges studies global spending patterns. Giges presents data concerning the percentage of adults in various countries who have purchased various consumer items (such as soft drinks, ...Acompany that sells and installs custom designed home theatre systems claims to have sold 977 such systems last year. In order to assess whether these claimed sales are valid, an accountant numbers the company’s sales ...Post your question