The lifetimes X and Y (in years) of two machine components have joint probability

Chapter 15, Problem 54

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The lifetimes X and Y (in years) of two machine components have joint probability density p(x, y) = 6 125 (5 x y) if 0 x 5 y and 0 y 5 0 otherwise What is the probability that both components are still functioning after 2 years?

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