Flying over the western states with mountainous terrain in a small aircraft is 40% riskier than flying

Question:

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 why the 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.

Distribution
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