# Two components of a minicomputer have the following joint pdf for their useful lifetimes X and Y : f ( x , y ) = { x e − x ( 1 + y ) x ≥ 0 and y ≥ 0 0 otherwise a. What is the probability that the lifetime X of the first component exceeds 3? b. What are the marginal pdf’s of X and Y ? Are the two lifetimes independent? Explain. c. What is the probability that the lifetime of at least one component exceeds 3?

### Probability and Statistics for Eng...

9th Edition
Jay L. Devore
Publisher: Cengage Learning
ISBN: 9781305251809

### Probability and Statistics for Eng...

9th Edition
Jay L. Devore
Publisher: Cengage Learning
ISBN: 9781305251809

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Chapter 5.1, Problem 12E
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