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(10 points) Let continuous variables X1,,Xk be independently distributed according to the same
probability density function f(x). Prove that the density function for max{X1,,Xk} is given by kf(x)(F(
x))k1, where F is the cumulative distribution for f.

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  • 1. (10 points) Let continuous variables X1,,Xk be independently distributed according to the same probability density function f(x). Prove that the density function for max{X1,,Xk} is given by kf(x)(F( x))k1, where F is the cumulative distribution for f.