Find the joint probability density function of y1 and y2 in
Let X1 and X2 be independent random variables, each exponentially distributed with parameter λ = ½. Find the joint probability density function of Y1 and Y2, in which (i) Y1 = X1 + X2, Y2 = X1 - X2. (ii) Y1 = maximum (X1, X2), Y2 = minimum (X1, X2).
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