Suppose that the number of accidents to employees working on

Suppose that the number of accidents to employees working on high-explosive shells over a period of time is taken to follow a Poisson distribution with average number of accidents 2 per five weeks. Find the probability of: a) exactly two accidents for the next five weeks. b) more than three accidents for the next five weeks. c) exactly four accidents for the next ten weeks. d) less than six accidents for the next fifteen weeks.

Solution

a) exactly two accidents for the next five weeks. Poissonpdf(2,2) = .2707 b) more than three accidents for the next five weeks. 1 – poissoncdf(2,3) = .1429 c) exactly four accidents for the next ten weeks. Poissonpdf(4,4) = .1954 d) less than six accidents for the next fifteen weeks. Poissoncdf(6,5) = .4457