# Cauchy Command

##### Command Categories (All commands)

Cauchy[ <Median>, <Scale>, x ]
Creates probability density function (pdf) of Cauchy distribution.
Cauchy[ <Median>, <Scale>, x, <Boolean Cumulative>]
If Cumulative is true, creates cumulative distribution function of Cauchy distribution, otherwise creates pdf of Cauchy distribution.
Cauchy[ <Median>, <Scale>, <Variable Value> ]
Calculates the value of cumulative distribution function of Cauchy distribution at Variable Value v, i.e. the probability P(X ≤ v) where X is a random variable with Cauchy given by parameters Median and Scale.
Note: Returns the probability for a given x-coordinate's value (or area under the Cauchy distribution curve to the left of the given x-coordinate).
Example:
Cauchy[1, 2, 3] yields 0.75 in the Algebra View and \mathrm{\mathsf{ \frac{3}{4} }} in the CAS View.
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