Mathematics, 20.03.2020 08:06 davidvickery6656
If Y is a continuous random variable such that E[(Y − a) 2 ] < [infinity] 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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If Y is a continuous random variable such that E[(Y − a) 2 ] < [infinity] for all a, show that E[...
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