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in airline applications loneWUPR. Section 5.3 Homework Score: 0 of 1 pt 5.3.21 S

ID: 2926500 • Letter: I

Question

in airline applications loneWUPR. Section 5.3 Homework Score: 0 of 1 pt 5.3.21 Score: 50%, 4 of 8 pts Question Help many airline components utilize something called triple modular redundancy. This that may be utilized should the initial component fail. Suppose a cortain oritical airline component has a means that a critical component has two backup of failure of 0.0051 and the system that utilizes the component is part of a triple modular redundancy (a) Assuming each components failure/success is (b) What is the pr of the others, what is the probability all three components fail, resulting in disaster for the flight? (a) The probability is 10.99999987. Round to eight decimal places as needed.) Enter your answer in the answer box and then click Check Answer Clear All part ining brary To see what to study next, go to your Study Plan. 12

Explanation / Answer

Answer to the question with detailed explanations and formulae are below:

a. All fail = p(each of 3 fails)
Since the components failures are independent of each other we have:
p(3 fail) = .0051^3 = 1.33*10^-6

b. P(atleast one do not fail) = 1-P(all fail) = 1-1.33*10^-6 = 0.99999987