Difference between revisions of "Poisson Command"

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{{command|cas=true|probability}}
 
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;Poisson[ <Mean λ> ]
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;Poisson[ <Mean> ]
:Returns a bar graph of a [[w:Poisson distribution|Poisson distribution]] with given mean λ.
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:Returns a bar graph of a [[w:Poisson distribution|Poisson distribution]] with given mean ''λ''.
;Poisson[ <Mean λ>, <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 bar graph of a cumulative Poisson distribution when ''Cumulative = true''.
 
:Returns a bar 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 λ>, <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.   
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:First parameter is same as above.
 
:First parameter is same as above.
 
==CAS Syntax==
 
==CAS Syntax==
;Poisson[ <Mean λ>, <Variable Value v>, <Boolean Cumulative> ]
+
;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 08:58, 19 April 2013



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 bar 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.

CAS Syntax

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 \frac{4}{e³}.

Poisson[3, 1, false] yields \frac{3}{e³}.
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