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Suppose that X is a random variable for which E(X) = µ and Var(X) = σ 2
(a) Show that E [X(X - 1)] = µ(µ - 1) + σ 2
(b) Show that E [(X - c) 2 ] = (µ - c) 2 + σ 2 where c is an arbitrary constant.
Statistics and Probability, Statistics
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