wo components of a minicomputer have the following joint pdf for their useful lifetimes X and xe¯«1+y) x2 0 and y > 0 f(x, y) 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 exceed: 3? (d) Find E(X) and E(Y)

Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
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Chapter4: Eigenvalues And Eigenvectors
Section4.6: Applications And The Perron-frobenius Theorem
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How do I find the E(x) and E(y)

Two components of a minicomputer have the following joint pdf for their useful lifetimes X and
Y:
xe-x1+y) x 2 0 and y z 0)
f(x, y)
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?
(d) Find E(X) and E(Y)
Transcribed Image Text:Two components of a minicomputer have the following joint pdf for their useful lifetimes X and Y: xe-x1+y) x 2 0 and y z 0) f(x, y) 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? (d) Find E(X) and E(Y)
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