The time X to failure of a machine has pdf f(x) = (x/4)3e(x/4)4 , 0 < x < . Compute P(X

Chapter 3, Problem 3.4-18

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QUESTION:

The time X to failure of a machine has pdf \(f(x)=(x / 4)^{3} e^{-(x / 4)^{4}}, 0<x<\infty\). Compute P(X > 5 | X > 4).

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QUESTION:

The time X to failure of a machine has pdf \(f(x)=(x / 4)^{3} e^{-(x / 4)^{4}}, 0<x<\infty\). Compute P(X > 5 | X > 4).

ANSWER:

Step 1 of 3

Given:

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