Chapter 14.5, Problem 50E

To determine

To calculate: The value of the integral ${\displaystyle {\int }_0^{\infty }p\left(x\right)dx}$ if $p\left(x\right)=\frac{1}{\sqrt{2\pi }\sigma }{e}^{-{\left(x-\mu \right)}^2/\left(2{\sigma }^2\right)}$, $\sigma =1$ and $\mu =0$.