X and Y are i.i.d. with exponential densities {f_X}(x)={e^{-x}}u(x) and {f_Y}(y)={e^{-y}}u(y), find


Question: X and Y are i.i.d. with exponential densities \({{f}_{X}}\left( x \right)={{e}^{-x}}u\left( x \right)\) and \({{f}_{Y}}\left( y \right)={{e}^{-y}}u\left( y \right)\), find the joint density Z=X+Y and W=X/Y.

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