A First Course in Probability (10th Edition)
A First Course in Probability (10th Edition)
10th Edition
ISBN: 9780134753119
Author: Sheldon Ross
Publisher: PEARSON
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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
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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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