Difference between revisions of "Poisson Command"

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(added short syntax)
m (Text replace - ";(.*)\[(.*)\]" to ";$1($2)")
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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}}
;Poisson[ <Mean> ]
+
;Poisson( <Mean> )
 
:Returns a bar graph of a [[w:Poisson distribution|Poisson distribution]] with given mean ''λ''.
 
:Returns a bar graph of a [[w:Poisson distribution|Poisson distribution]] with given mean ''λ''.
;Poisson[ <Mean>, <Boolean Cumulative> ]
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;Poisson( <Mean>, <Boolean Cumulative> )
 
:Returns a bar graph of a Poisson distribution when ''Cumulative = false''.  
 
:Returns a bar graph of a Poisson distribution when ''Cumulative = false''.  
 
:Returns a graph of a cumulative Poisson distribution when ''Cumulative = true''.
 
:Returns a graph of a cumulative Poisson distribution when ''Cumulative = true''.
 
:The first parameter is same as above.
 
:The first parameter is same as above.
;Poisson[ <Mean>, <Variable Value v>, <Boolean Cumulative> ]
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;Poisson( <Mean>, <Variable Value v>, <Boolean Cumulative> )
 
:Let X be a Poisson random variable.
 
:Let X be a Poisson random variable.
 
:Returns P( X = ''v'') when ''Cumulative'' = false.   
 
:Returns P( X = ''v'') when ''Cumulative'' = false.   

Revision as of 17:16, 7 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 Menu view algebra.svg Algebra View and \frac{4}{e³} in the Menu view cas.svg CAS View.
  • Poisson[3, 1, false] yields 0.15 in the Menu view algebra.svg Algebra View and \frac{3}{e³} in the Menu view cas.svg 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}].
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