6. (Sec. 5.1) Two components of a minicomputer have the following joint pdf for their useful lifetimes X and Y . f(x, y) = ( xe−x(y+1) for x ≥ 0, y ≥ 0 0 otherwise (a) What is the probability that the lifetime X of the first component exceeds 3? (b) Find the marginal pdfs of X and Y . Are the two lifetimes independent? Justify your answer. (c) What is the probability that the lifetime of at least one component does not exceed 3?
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6. (Sec. 5.1) Two components of a minicomputer have the following joint pdf for their useful lifetim...
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