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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 3.1 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. a.Frequency of accidents is a common occurrence. It is reasonable to assume the events are dependent. b.Frequency of accidents is a rare occurrence. It is reasonable to assume the events are dependent.     c.Frequency of accidents is a rare occurrence. It is reasonable to assume the events are independent.

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 3.1 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. a.Frequency of accidents is a common occurrence. It is reasonable to assume the events are dependent. b.Frequency of accidents is a rare occurrence. It is reasonable to assume the events are dependent.     c.Frequency of accidents is a rare occurrence. It is reasonable to assume the events are independent.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section: Chapter Questions
Problem 6SGR
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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 3.1 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.

a.Frequency of accidents is a common occurrence. It is reasonable to assume the events are dependent.
b.Frequency of accidents is a rare occurrence. It is reasonable to assume the events are dependent.    
c.Frequency of accidents is a rare occurrence. It is reasonable to assume the events are independent.
d.Frequency of accidents is a common occurrence. It is reasonable to assume the events are independent.
 
(b) Find the probability of no accidents in 100,000 flight operations. (Use 4 decimal places.)
(c) Find the probability of at least 2 accidents in 200,000 flight operations. (Use 4 decimal places.)



 
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