SOLVED:In addition to limit theorems that deal with sums, there are limit theorems that deal with extreme values such as maxima or minima. Here is an example. Let U1, …, Un be independent uniform random variables on [0,1], and let U(n) be the maximum. Find the cdf of U(n) and a standardized U(n), and show that the cdf of the standardized variable tends to a limiting value.

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