Question: A Gaussian (also called Normal) probability density is characterized by the follow-ing functionf(x)=122e-(x-)222.Answer:(a) Compute the integral -f(x)dx.(b) Let =1 and =0. Compute the integral -xf(x)dx.(c)

A Gaussian (also called "Normal") probability density is characterized by the follow-ing functionf(x)=122e-(x-)222.Answer:(a) Compute the integral -f(x)dx.(b) Let =1 and =0. Compute the integral -xf(x)dx.(c) Let =1 and =0. Compute the integral -x2f(x)dx.(d) Let Fx(s):=-sf(x)dx, and let Fy(x)=Fx(x-ba). Compute dFydx.

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