# Difference between revisions of "Poisson Command"

From GeoGebra Manual

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− | + | <noinclude>{{Manual Page|version=5.0}}</noinclude>{{command|cas=true|probability}} | |

− | <noinclude>{{Manual Page|version= | + | ;Poisson( <Mean> ) |

− | {{command| | + | :Returns a bar graph of a [[w:Poisson distribution|Poisson distribution]] with given mean ''λ''. |

− | ;Poisson[ <Mean>, <Variable Value> , <Boolean Cumulative> ] | + | ;Poisson( <Mean>, <Boolean Cumulative> ) |

− | :{{ | + | :Returns a bar graph of a Poisson distribution when ''Cumulative = false''. |

+ | :Returns a graph of a cumulative Poisson distribution when ''Cumulative = true''. | ||

+ | :The first parameter is same as above. | ||

+ | ;Poisson( <Mean>, <Variable Value v>, <Boolean Cumulative> ) | ||

+ | :Let X be a Poisson random variable. | ||

+ | :Returns P( X = ''v'') when ''Cumulative'' = false. | ||

+ | :Returns P( X ≤ ''v'') when ''Cumulative'' = true. | ||

+ | :First parameter is same as above. | ||

+ | |||

+ | :{{examples|1=<div> | ||

+ | :*<code><nowiki>Poisson(3, 1, true)</nowiki></code> yields ''0.2'' in the [[File:Menu view algebra.svg|link=|16px]] ''Algebra View'' and '' <math>\frac{4}{e³}</math> in the [[File:Menu view cas.svg|link=|16px]] ''CAS View''. | ||

+ | :*<code><nowiki>Poisson(3, 1, false)</nowiki></code> yields ''0.15'' in the [[File:Menu view algebra.svg|link=|16px]] ''Algebra View'' and '' <math>\frac{3}{e³}</math>'' in the [[File:Menu view cas.svg|link=|16px]] ''CAS View''.</div>}} | ||

+ | :{{Note|1=A simplified syntax is available to calculate P(''u'' ≤ X ≤ ''v''): e.g. <code>Poisson(1, 1..5)</code> yields ''0.63153'', that is the same as Poisson(1, {1, 2, 3, 4, 5}).}} |

## Latest revision as of 11:18, 11 October 2017

- Poisson( <Mean> )
- Returns a bar graph of a Poisson distribution with given mean
*λ*. - Poisson( <Mean>, <Boolean Cumulative> )
- Returns a bar graph of a Poisson distribution when
*Cumulative = false*. - Returns a graph of a cumulative Poisson distribution when
*Cumulative = true*. - The first parameter is same as above.
- Poisson( <Mean>, <Variable Value v>, <Boolean Cumulative> )
- Let X be a Poisson random variable.
- Returns P( X =
*v*) when*Cumulative*= false. - Returns P( X ≤
*v*) when*Cumulative*= true. - First parameter is same as above.

**Examples:**`Poisson(3, 1, true)`

yields*0.2*in the*Algebra View*and*\frac{4}{e³} in the*CAS View*.*`Poisson(3, 1, false)`

yields*0.15*in the*Algebra View*and*\frac{3}{e³}*in the*CAS View*.

**Note:**A simplified syntax is available to calculate P(*u*≤ X ≤*v*): e.g.`Poisson(1, 1..5)`

yields*0.63153*, that is the same as Poisson(1, {1, 2, 3, 4, 5}).