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# If $f(x)$ is a p.d.f of a normal distribution with mean $\mu$ then $\int\limits_{-\infty}^{\infty}f(x)dx$ is

$\begin{array}{1 1}(1)1&(2)0.5\\(3)0&(4)0.25\end{array}$

$f(x)$ is a p.d.f
$\therefore \int\limits_{-\infty}^{\infty}f(x)dx=1$