The Normal Distribution Curve, Which Models the Distributions of Data $p ( x ) = \frac { 1 } { \sqrt { 2 \pi } \sigma } e ^ { \frac { - ( x - \mu ) ^ { 2 } } { 2 \sigma ^ { 2 } } }$

Multiple Choice

The normal distribution curve, which models the distributions of data in a wide range of applications, is given by the function $p ( x ) = \frac { 1 } { \sqrt { 2 \pi } \sigma } e ^ { \frac { - ( x - \mu ) ^ { 2 } } { 2 \sigma ^ { 2 } } }$ , $\pi = 3.14159265 \ldots$ and and are constants called the standard deviation and the mean, respectively. With $\sigma = 3$ and $\mu = 5$ , approximate $\int _ { - \infty } ^ { \infty } p ( x ) \mathrm { d } x$ .

A) 3
B) -5
C) 5
D) -1
E) 1