Question: Given random variables X and Y and assume , is ?true? If yes, please provide a proof. If no, please provide a counter example. E(YX)

Given random variables X and Y and assume E(Y|X)=1, is Var(XY)geq Var(X)?true? If yes, please provide a proof. If no, please provide a counter example.

E(YX) = 1 Var (XY) Var (X)

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