# The time X to failure of a machine has pdf f (x) = (x/4)3e ## Problem 18E Chapter 3.4

Probability and Statistical Inference | 9th Edition

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Problem 18E

The time X to failure of a machine has pdf f (x) = (x/4)3e −(x/4)4, 0 < x < ∞. Compute P(X > 5 |X > 4).

Step-by-Step Solution:

Step 1 of 2:

Given that X denotes the time to failure of a machine. X has the probability density

f(x)=  ,0<x< .

We have to find the value of P(X>5|X>4).

Step 2 of 2

##### ISBN: 9780321923271

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The time X to failure of a machine has pdf f (x) = (x/4)3e

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