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

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Verify that the univariate Gaussian distribution given by N(x|μ, o²) = satisfies 1 |2πσ2 E[x] = N(x|μ, 0²)xdx = μ₁ μl. ∞ Then, show that the Gaussian also satisfies ∞ 1 xp{-202 (x-μ)²} E[x²] = [*_N(x\µ‚o²)x²dx = µ² +0². Verify that the univariate Gaussian distribution given by N(x|μ, o²) = satisfies 1 |2πσ2 E[x] = N(x|μ, 0²)xdx = μ₁ μl. ∞ Then, show that the Gaussian also satisfies ∞ 1 xp{-202 (x-μ)²} E[x²] = [*_N(x\µ‚o²)x²dx = µ² +0².