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Problem 2. In this problem, we find the mean and variance of X ~ N(u, 02). Note that the PDF of X is (x-H)2 f(x)

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Problem 2. In this problem, we find the mean and variance of X ~ N(u, 02). Note that the PDF of X is (x-H)2 f(x) = 202 for any r E R. OV2TT (a) Show that .CO que 202 du = 0. -DO (b) Show that 2 e 202 dx = 1 OV 2TT (c) Show that E(X) = H

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