If Y is a continuous random variable such that E[(Y a)2] < for all a, show that E[(Y
Chapter 4, Problem 4.35(choose chapter or problem)
If Y is a continuous random variable such that E[(Y a)2] < for all a, show that E[(Y a)2] is minimized when a = E(Y ). [Hint: E[(Y a)2] = E({[Y E(Y )] + [E(Y ) a]}2).]
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