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Suppose that X and Y are independent random variables with common pdf fx = e^(-x,) where x is greater than 0. Let u=x+y and v=(x)/(x+y).a.

Suppose that X and Y are independent random variables with common pdf fx = e^(-x,) where x is greater than 0. Let u=x+y and v=(x)/(x+y).a. Find the joint density of u and v?b. find fu(u) and fv(v); c. Are U and V independendt?

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