Question

the average time between accidents in a factory is 7 weeks. Find the probability that more than 8 weeks pass between accidents

Answer 1

0.2709

Explanation:

Given that:

Average time between accidents (λ) = 7 weeks

Probability that more than 8weeks pass between accidents

P(x > 8) = 1 - P(x ≤8)

P(x > 8) = 1 - [p(0) + p(1) + p(2) + p(3) + p(4) + p(5) + p(6) + p(7) + p(8)]

To save computation time :

We can use a poisson distribution calculator :

Hence,

P(x > 8) = 1 - P(x ≤8)

P(x ≤8) = 0.72909

P(x > 8) = 1 - 0.72909

P(x > 8) = 0.2709