Question:-01 (e)

Following statement is true or false? Give reason in support of your answer.

e) If probability density function of a normally distributed random variable \(\mathrm{X}\) is

\[
f(x)=\frac{1}{6 \sqrt{2 \pi}} e^{-\frac{1}{2}\left(\frac{x-46}{6}\right)^{2}}, \quad-\infty<x<\infty
\]

then variance of \(\mathrm{X}\) is 36 .