Assume that the poisson distribution applies and that the mean number of aircraf

Question

Assume that the poisson distribution applies and that the mean number of aircraft accident is 9 per month. Find P (0), the probability that in a month there will be no aircraft accidents is it unlikely is it unlikely to have a month with no aircraft accidents? P(0) = (Round to six decimal places as needed) Is it unlikely to have a month with no aircraft accidents? Assume that an event i8s unlikely if its probability is 0.05 or less A. It is not unlikely to have a month with no aircraft accidents. B. It is unlikely to have a month with no aircraft accidents.

Explanation / Answer

mean no of aircraft accidents i.e = 9 per month

formula for poisson distribution is P(X=n) = e-n/n!

probability that in a month there will be no aircrafts accidents i.e P(0) = e-990/0! = 0.0001234

something is unlikely of probabity is less than 0.05

probability that in a month there will be no aircrafts accidents is 0.0001234< 0.05

so it is unlikely to have a month with no aircrafts accidents

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