# Cauchy Distribution

The simplest Cauchy distribution is known as the standard Cauchy distribution. It is the distribution of an random variable, this is the ratio of a couple of independent standard normal variables. Mean and its variance are undefined. The Cauchy distribution does not have any moment generating perform. In this distribution Mode and Average are zero. A widely used measure of the width could be the full width at half maximum (FWHM), that's equal to 3.