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If X and Y are independent random variables with X exponentially distributed with mean 1 and Y uniformly distributed in [0,1] , how do I find the distribution of Max(X,Y)

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  • $\begingroup$ People here will be more willing to help if you share what have you tried and where you are stuck at. $\endgroup$ – Lord Soth Oct 27 '13 at 19:05
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$\max\{X,Y\}<x$ if and only if $X<x$ and $Y<x$.

It says "and". And the two are independent.

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