Solved: Two electronic components of a missile system work

Chapter 4, Problem 3.63

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Two electronic components of a missile system work in harmony for the success of the total system. Let X and Y denote the life in hours of the two components. The joint density of X and Y is f(x,y)=yey(1+x), x,y 0, 0, elsewhere. (a) Give the marginal density functions for both random variables. (b) What is the probability that the lives of both components will exceed 2 hours?

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