# StdNormalPdf

Calculates the probability density for the the standard normal distribution function

## Syntax

Result = StdNormalPdf(z);

## Return Value

Returns the probability density for the the standard normal distribution function.

## Parameters

 z {{{2}}}

## Explanation =

In The drawing the pdf of the standard normal probability density function is shown. The standard normal distribution has an expectation of 0 and a variance of 1.

The formula is ${\displaystyle f(x)={\frac {1}{\sqrt {2\pi }}}e^{-{\frac {1}{2}}x^{2}}}$

see

N. I. Johson and S. Kotz, 1970. Continuous univariate distributions. Houghton Mifflin Company, Boston.

## Example

Above figure is generated with the statements


x=-5#0.02#5;

y=StdNormPdf(x);