Question: Suppose that fY (y) is a continuous and symmetric pdf, where symmetry is the property that fY (y) = fY (y) for all y. Show

Suppose that fY (y) is a continuous and symmetric pdf, where symmetry is the property that fY (y) = fY (−y) for all y. Show that P (−a ≤Y ≤a) =2FY (a) −1.

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