Question: Find a non-linear function f : ( - oo, 00) ( - 00, co ) such that E(f (Z)) = f(0) = f(E(Z)), where

Find a non-linear function f : ( - oo, 00) "
( - 00, co ) such that E(f (Z)) = f(0) =

Find a non-linear function f : ( - oo, 00) " ( - 00, co ) such that E(f (Z)) = f(0) = f(E(Z)), where Z ~ N(0, 1). Fully justify your

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