Variance of the probability law

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Reference no: EM131833159

A characterization of the mean, Consider a probability law with finite mean m. Define, for every real number a, h(a) = E[(x - a)²]. Show that h(a) = E[(x - m)²] + (m - a)². Consequently h(a) is minimized at a = m, and its minimum value is the variance of the probability law.

Reference no: EM131833159

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