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 2.1 accidents per 100,000 flight operations.

*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. (Use 4 decimal places.)

(c) Find the probability of at least 6 accidents in 200,000 flight operations. (Use 4 decimal places.)

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