Question: 28. If X is a continuous random variable having distribution function F, show that a. F(X) is uniformly distributed on (0, 1); b. 1 F(X)

28. If X is a continuous random variable having distribution function F, show that

a. F(X) is uniformly distributed on (0, 1);

b. 1− F(X) is uniformly distributed on (0, 1).

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