fxx (x, y) = {ge Sye-(*+y) x > 0, y > 0 otherwise, i) Find the joint probability density function of Z = X+Y, W = X - Y, and marginal distributions of Z and W. %3D %3D

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fxY (x, y) = {ye-(x+y)
10
x > 0, y > 0
otherwise,
i) Find the joint probability density function of Z = X +Y, W = X - Y, and
marginal distributions of Z and W.
ii) Are Z and W independent?
Transcribed Image Text:fxY (x, y) = {ye-(x+y) 10 x > 0, y > 0 otherwise, i) Find the joint probability density function of Z = X +Y, W = X - Y, and marginal distributions of Z and W. ii) Are Z and W independent?
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