Chapter 14.5, Problem 49E

To determine

To calculate: The value of the integral ${\displaystyle {\int }_{-\infty }^{\infty }p\left(x\right)dx}$ if $p\left(x\right)=\frac{1}{\sqrt{2\pi }\sigma }{e}^{-{\left(x-\mu \right)}^2/\left(2{\sigma }^2\right)}$, $\sigma =4$ and $\mu =1$.