By differentiating both sides of ∫N(x|µ, σ² ) dx = 1 (the integral from −∞ to...

Question

Question

By differentiating both sides of ∫N(x|µ, σ² ) dx = 1 (the integral from −∞ to ∞ ) with respect to σ²

Show that the Gaussian satisfies E[x² ] = ∫ N(x|µ, σ² ) x² dx = µ² +σ² (the integral from −∞ to ∞ ) .

math Statistics-And-Probability

Answer 1

Answer #1

Answer 2

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