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2. Let X and Y be two independent discrete random variables with the probability mass functions PX- = i) = (e-1)e-i and P(Y = j-11 for i,j = 1, 2, Let {Uni2 1} of i.i.d. uniform random variables on [0, 1]. Assume the sequence {U i independent of X and Y. Define M-max(UhUn Ud. Find the distribution

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Cven uence -ง wed cl duiv) d2 Um (UCE) u hod povebabi lity bnchem function given by ut 2 2C- 2

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