Question: 23. Let X be a continuous random variable whose probability density function f is even; that is, f(x) = f(x), x. Prove that (a) the

23. Let X be a continuous random variable whose probability density function f is even;

that is, f(−x) = f(x), ∀x. Prove that

(a) the random variables X and −X have the same distribution function;

(b) the functionMX(t) is an even function.

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