Cauchy Command

Cauchy( <Median>, <Scale>, x ): Creates cumulative density function (cdf) 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.

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).

Cauchy(1, 2, 3) yields 0.75 in the Algebra View and \(\frac{3}\{4}\) in the CAS View.