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

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f(x, y) {xex(1y) 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?

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Probability And Statistics For Engineering And The Sciences

ISBN: 9781111802325

7th Edition

Authors: Dave Ellis, Jay L Devore

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Question Posted: Sep 16, 2024 09:00 AM

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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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