(X) and (Y) are independent, in the interval ([0,1]) uniformly distributed random variables. Determine the densities of...

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\(X\) and \(Y\) are independent, in the interval \([0,1]\) uniformly distributed random variables. Determine the densities of

(1) \(Z=\min (X, Y)\), and (2) \(Z=X Y\).

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