Answer:
0.2709
Step-by-step 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
