# This exercise requires the use of a graphing calculator or computer programmed to do numerical integration. The normal distribution curve, which model

This exercise requires the use of a graphing calculator or computer programmed to do numerical integration. The normal distribution curve, which models the distributions of data in a wide range of applications, is given by the function $p\left(x\right)=\frac{1}{{\sqrt{2\pi }}^{\sigma }}{e}^{-\left(x-\mu {\right)}^{2}}/\left(2{\sigma }^{2}\right)$ where $\pi =3.14159265...$ and sigma and mu are constants called the standard deviation and the mean, respectively. Its graphis shown in the figure. With $\sigma =5\text{and}\mu =0$, approximate
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