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QUESTION 12 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, calculate the probability that time to failure is between 2 and 5 years. O 0.247 0.791 0.753 O 0.209

QUESTION 12 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, calculate the probability that time to failure is between 2 and 5 years. O 0.247 0.791 0.753 O 0.209

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 12** 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 \( k \), calculate the probability that time to failure is between 2 and 5 years.** - ○ 0.247 - ○ 0.791 - ○ 0.753 - ○ 0.209
Transcribed Image Text:**Question 12** 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 \( k \), calculate the probability that time to failure is between 2 and 5 years.** - ○ 0.247 - ○ 0.791 - ○ 0.753 - ○ 0.209
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