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. (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. Frequency of accidents is a rare occurrence. It is reasonable to assume the events are independent. Frequency of accidents is a rare occurrence. It is reasonable to assume the events are dependent. Frequency of accidents is a common occurrence. It is reasonable to assume the events are independent. Frequency of accidents is a common occurrence. It is reasonable to assume the events are dependent. (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.)
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.
(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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