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4. Q4 (20pts) If both X and Y are uniformly distributed random variables on (0, 1) and they are independent, compute each of the following

4. Q4 (20pts) If both X and Y are uniformly distributed random variables on (0, 1) and they are independent, compute each of the following joint densities. Please also write down the domain. (a) (10pts) U : X +Y (b) (10pts) U = 2X + Y, V = X/Y

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