Show that the statistical mean and the variance for the Gaussian PDF expressed in Equation (1.209) are given by

\[\begin{aligned}& E\{X\}=\bar{\mu} \\& E\left\{(X-E\{X\})^{2}\right\}=\bar{\sigma}^{2} .\end{aligned}\]

Transcribed Image Text:

1 ox (x) = e-(x-1)/20 (1.209) 22