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Verify that the univariate Gaussian distribution given by N(x|, o) = satisfies 1 |22 E[x] = N(x|, 0)xdx = l. Then, show that the

Verify that the univariate Gaussian distribution given by N(x|, o) = satisfies 1 |22 E[x] = N(x|, 0)xdx = l. Then, show that the Gaussian also satisfies 1 xp{-202 (x-)} E[x] = [*_N(x\o)xdx = +0.

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