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13) Flying over the western states with mountainous terrain in a small aircraft is 40% riskier than nyy over similar distances in flatter portions of the nation, according to a General Accounting Omce tee completed in response to a congressional request. The accident rate for small aircraft in the mountainous western states is 2.4 accidents per 100,000 flight operations (Source: Denver Postr (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. (c) Find the probability of at least 4 accidents in 200,000 flight operations.

13) Flying over the western states with mountainous terrain in a small aircraft is 40% riskier than nyy over similar distances in flatter portions of the nation, according to a General Accounting Omce tee completed in response to a congressional request. The accident rate for small aircraft in the mountainous western states is 2.4 accidents per 100,000 flight operations (Source: Denver Postr (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. (c) Find the probability of at least 4 accidents in 200,000 flight operations.

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
Section10.6: Summarizing Categorical Data
Problem 26PPS
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13) 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 o o completed in response to a congressional request. The accident rate for small aircraft in thee mountainous western states is 2.4 accidents per 100.000 flight operations (Source: Denver Post). (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. (c) Find the probability of at least 4 accidents in 200,000 flight operations.
Transcribed Image Text:13) 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 o o completed in response to a congressional request. The accident rate for small aircraft in thee mountainous western states is 2.4 accidents per 100.000 flight operations (Source: Denver Post). (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. (c) Find the probability of at least 4 accidents in 200,000 flight operations.
Expert Solution
Step 1

Let n = number of flight operations 100000

let X  = number of accidents in 100000 operations

p = probability of getting an accident = 2.4100000 = 0.000024

 

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