Let xi n i 1 be observations drawn from a random variable X, with (unknown) expected value E X X and (unknown) variance V X 2 X Recall that V X E X2 E X 2 (b) Show that if a is any number distinct from x, then 1 n n i 1 (xi a)2 1 n n i 1 (xi x)2

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Let  xi  n i 1 be observations drawn from a random variable X, with (unknown) expected value E X    X and (unknown) variance V X    2 X   Recall that V X    E X2  E X 2 (b) Show that if a is any number distinct from x, then 1 n n i 1 (xi a)2   1 n n i 1 (xi x)2

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Question: Let {xi }n i=1 be observations drawn from a random variable X, with (unknown) expected value E[X] = X and (unknown) variance V[X] = 2

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