Question: Probability Density Functions, Partial derivatives, marginal distributions.. Z = X+Y, W = X/Y, fzw ... Suppose X, Y are independent random variables with probability density

Probability Density Functions, Partial derivatives, marginal distributions..

Z = X+Y, W = X/Y, fzw ...

Suppose X, Y are independent random variables with probability density functions given as follows fx (2) = x>l 1 y > 1 0 (1) o/w, , fy (y) = 0 o/W. Set Z = X +Y and W = . Compute fzw(z, w) and the marginal distributions fz(z), fw(w). Are Z, W independent

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