) Problem 1.10 Let us assume that the c.d.f. Fx (x) of a random variable X is a continuous function of x. 1. What is the distribution of the random variable Fx(X)? Give its c.d.f. 2. What can you say about the distribution of the random variable Fx(-X) without having to make any extra assumptions on the distribution of X? 3. What can you say about the distribution of the random variable Fx(-X) if X is posi- tive?

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