Probability -Random variable

can someone help me to solve this question !!


Suppose X1,X2.....Xn are independent, identically distributed exponential random variables with mean 1/λ . Let Y=Max {X1,X2.....Xn}. Using exactly one uniform (0,1) random number, describe how you would generate a single realization of Y.
 
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Hint: the method is very similar to the case for n=1.
 

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