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Suppose that the distribution of a random variable X is

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Suppose that the distribution of a random variable X is symmetric with respect to the point x = 0 and that E(X4) < ?. Sh

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Suppose that the distribution of a random variable X is symmetric with respect to the point x = 0 and that E(X4) < ?. Show that E[(X ? d)4] is minimized by the value d = 0.

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