Question: Suppose X is a random variable with the pdf f(x) which is symmetric about 0; i.e., f(x) = f(x). Show that F(x) = 1

Suppose X is a random variable with the pdf f(x) which is symmetric about 0; i.e., f(−x) = f(x). Show that F(−x) = 1 − F(x), for all x in the support of X.

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