Question: Let x 1 , x 2 , dots, x n be independent and identical U ( 0 , ) random variables. Let N n =

Let x1,x2,dots,xn be independent and identical U(0,) random variables. Let Nn=min(x1,x2,dots,xn) and consider the sequence Yn=nNn. Does Yn converge in distribution to some random variable Y? If so, find the probability density function of Y.
Let x1,x2,dots,xn be independent and identical U(0,) random variables. Let Nn=min(x1,x2,dots,xn)

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