Difference between revisions of "Poisson Command"
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| − | <noinclude>{{Manual Page|version= | + | <noinclude>{{Manual Page|version=5.0}}</noinclude>{{command|cas=true|probability}} |
| − | {{command|probability}} | + | ;Poisson( <Mean> ) |
| − | ;Poisson | + | :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> ) |
| − | ;Poisson | ||
:Returns a bar graph of a Poisson distribution when ''Cumulative = false''. | :Returns a bar graph of a Poisson distribution when ''Cumulative = false''. | ||
| − | :Returns a | + | :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 | + | ;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. |
| − | : Returns P( X ≤ ''v'') when ''Cumulative'' = true. | + | :Returns P( X ≤ ''v'') when ''Cumulative'' = true. |
| − | : First parameter is same as above. | + | :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}).
