Normal Probability Distributions
The standard normal distribution, in Maple, is
>
ND := (mu,sigma,x) -> 1/sqrt(2*Pi*sigma^2)*exp(-1/2*((x-mu)/sigma)^2);
We graph ND(1,s,x) with s
varying from 0.5 up to 3.
Note how s affects the dispersion of the function. In
statistics, this measure is called the standard deviation.
Below, we plot ND(m,1,x) with m
varying from -5 to +5.
This variation can be explained as a horizontal translation. In
statistics, m is called the mean.