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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 3.3 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. 1) Frequency of accidents is a common occurrence. It is reasonable to assume the events are dependent. 2) Frequency of accidents is a rare occurrence. It is reasonable to assume the events are dependent.    3) Frequency of accidents is a rare occurrence. It is reasonable to assume the events are independent. 4) 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 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 3.3 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. 1) Frequency of accidents is a common occurrence. It is reasonable to assume the events are dependent. 2) Frequency of accidents is a rare occurrence. It is reasonable to assume the events are dependent.    3) Frequency of accidents is a rare occurrence. It is reasonable to assume the events are independent. 4) 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 6 accidents in 200,000 flight operations. (Use 4 decimal places.)

MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
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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 3.3 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.
1) Frequency of accidents is a common occurrence. It is reasonable to assume the events are dependent.
2) Frequency of accidents is a rare occurrence. It is reasonable to assume the events are dependent.   
3) Frequency of accidents is a rare occurrence. It is reasonable to assume the events are independent.
4) 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 6 accidents in 200,000 flight operations. (Use 4 decimal places.)
 
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