Question

A telephone company's goal is to have no more than 3 monthly line failures on any 100 miles of line. The company currently experiences an average of 5 monthly line failures per 50 miles of line. Let x denote the number of monthly line failures per 100 miles of line. Assuming x has a Poisson distribution: (d) Find the probability that the company will have more than 12 monthly failures on a particular 150 miles of line. (Do not round intermediate calculations. Round final answer to 4 decimal places.)

Answer 1

X~Poisson(A 15) we can either use pmf for each point as: 12 or we can use excel function POISSON.DIST(x, mean, cumulative) to cal culate Fx (12): 1-POISSON.DIST (12,15, TRUE) 0.732389 0.7324 P(X > 12) = 0.7324 Thank You