Difference between revisions of "Cauchy Command"
From GeoGebra Manual
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<noinclude>{{Manual Page|version=5.0}}</noinclude>{{command|cas=true|probability}} | <noinclude>{{Manual Page|version=5.0}}</noinclude>{{command|cas=true|probability}} | ||
;Cauchy( <Median>, <Scale>, x ) | ;Cauchy( <Median>, <Scale>, x ) | ||
| − | :Creates | + | :Creates cumulative density function (cdf) of [[w:Cauchy distribution|Cauchy distribution]]. |
;Cauchy( <Median>, <Scale>, x, <Boolean Cumulative>) | ;Cauchy( <Median>, <Scale>, x, <Boolean Cumulative>) | ||
:If ''Cumulative'' is true, creates cumulative distribution function of Cauchy distribution, otherwise creates pdf of Cauchy distribution. | :If ''Cumulative'' is true, creates cumulative distribution function of Cauchy distribution, otherwise creates pdf of Cauchy distribution. | ||
Latest revision as of 11:15, 30 July 2019
- 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.
- 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 \frac{3}{4} in the 
CAS View.
