Let X have the density function f , and let Y = X with
Chapter , Problem 25(choose chapter or problem)
Let X have the density function f, and let Y = X with probability \(\frac{1}{2}\) and Y = ‒ X with probability \(\frac{1}{2}\). Show that the density of Y is symmetric about zero‒that is, \(f_Y (y) = f_Y(-y)\).
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