Accident Rate: Small Planes

Accident Rate: Small Planes 

Flying over the western states with mountainous terrain in a small aircraft is 40% riskier than flying over similar distances in flatter portions of the nation, according to a General Accounting Office study completed in response to a congressional request. The accident rate for small aircraft in the 11 mountainous western states is 2.4 accidents per 100,000 flight operations

(a) Let r = number of accidents for a given number of operations. Explain whythe Poisson distribution would be a good choice for the probability distribution of r.

(b) Find the probability of no accidents in 100,000 flight operations.

(c) Find the probability of at least 4 accidents in 200,000 flight operations.