Question: 3.63 Two electronic components of a missile system work in harmony for the success of the total system. Let X and Y denote the life

3.63 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) =



ye

−y (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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