Two components of a minicomputer have the following joint pdf for their useful lifetimes X and Y:

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Two components of a minicomputer have the following joint pdf for their useful lifetimes X and Y: (xex(1+y) x = 0 and y=0 f(x, y) 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 life- times independent? Explain.

c. What is the probability that the lifetime of at least one component exceeds 3?

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Probability And Statistics For Engineering And The Sciences

ISBN: 9781133169345

8th Edition

Authors: Jay L Devore, Roger Ellsbury

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Question Posted: Sep 16, 2024 04:00 PM

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Two components of a minicomputer have the following joint pdf for their useful lifetimes X and Y:

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Probability And Statistics For Engineering And The Sciences

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