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QUESTION 11 Let X denote the time to failure (in years) of a certain hydraulic component. Suppose the pdf of X is f(x) = k/(x+ 4)ª for x > 0. Using the value of k, determine the expected time to failure. 4 3.2 2.

QUESTION 11 Let X denote the time to failure (in years) of a certain hydraulic component. Suppose the pdf of X is f(x) = k/(x+ 4)ª for x > 0. Using the value of k, determine the expected time to failure. 4 3.2 2.

A First Course in Probability (10th Edition)
A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
Section: Chapter Questions
Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
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**Question 11** Let \( X \) denote the time to failure (in years) of a certain hydraulic component. Suppose the pdf of \( X \) is \( f(x) = \frac{k}{(x+4)^4} \) for \( x > 0 \). **Using the value of k, determine the expected time to failure.** - 4 - 3.2 - 6 - 2
Transcribed Image Text:**Question 11** Let \( X \) denote the time to failure (in years) of a certain hydraulic component. Suppose the pdf of \( X \) is \( f(x) = \frac{k}{(x+4)^4} \) for \( x > 0 \). **Using the value of k, determine the expected time to failure.** - 4 - 3.2 - 6 - 2
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