Difference between revisions of "HyperGeometric Command"

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<noinclude>{{Manual Page|version=4.0}}</noinclude>
 
<noinclude>{{Manual Page|version=4.0}}</noinclude>
{{command|probability}}
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{{command|probability}}
;HyperGeometric[ <Population Size>, <Number of Successes>, <Sample Size>, <Variable Value> ]
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;HyperGeometric[ <Population Size>, <Number of Successes>, <Sample Size>]:
:{{description}}
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: Returns a bar graph of a [[w:Hypergeometric distribution|Hypergeometric distribution]].
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:''Parameters:''
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::''Population size'': number of balls in the urn
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::''Number of Successes'': number of white balls in the urn
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::''Sample Size'': number of balls drawn from the urn
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The bar graph shows the probability function of the number of white balls in the sample.
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;HyperGeometric[ <Population Size>, <Number of Successes>, <Sample Size>, <Boolean Cumulative> ]
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: Returns a bar graph of a Hypergeometric distribution when ''Cumulative'' = false.
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: Returns a bar graph of a cumulative Hypergeometric distribution when ''Cumulative'' = true.
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: First two parameters are same as above.
 +
 
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;HyperGeometric[ <Population Size>, <Number of Successes>, <Sample Size>, <Variable Value v>, <Boolean Cumulative> ]
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: Let X be a Binomial random variable.
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: Returns P( X = ''v'') when ''Cumulative'' = false. 
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: Returns P( X ≤ ''v'') when ''Cumulative'' = true.
 +
: First two parameters are same as above.
 +
 
 +
==CAS Specific Syntax==
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In [[CAS View]] only one syntax is allowed:
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;HyperGeometric[ <Population Size>, <Number of Successes>, <Sample Size>, <Variable Value v>, <Boolean Cumulative> ]:
 +
: Let X be a Hypergeometric random variable.
 +
: Returns P( X = ''v'') when ''Cumulative'' = false. 
 +
: Returns P( X ≤ ''v'') when ''Cumulative'' = true.
 +
First three parameters are same as above.

Revision as of 22:23, 18 July 2011



HyperGeometric[ <Population Size>, <Number of Successes>, <Sample Size>]
Returns a bar graph of a Hypergeometric distribution.
Parameters:
Population size: number of balls in the urn
Number of Successes: number of white balls in the urn
Sample Size: number of balls drawn from the urn

The bar graph shows the probability function of the number of white balls in the sample.

HyperGeometric[ <Population Size>, <Number of Successes>, <Sample Size>, <Boolean Cumulative> ]
Returns a bar graph of a Hypergeometric distribution when Cumulative = false.
Returns a bar graph of a cumulative Hypergeometric distribution when Cumulative = true.
First two parameters are same as above.
HyperGeometric[ <Population Size>, <Number of Successes>, <Sample Size>, <Variable Value v>, <Boolean Cumulative> ]
Let X be a Binomial random variable.
Returns P( X = v) when Cumulative = false.
Returns P( X ≤ v) when Cumulative = true.
First two parameters are same as above.

CAS Specific Syntax

In CAS View only one syntax is allowed:

HyperGeometric[ <Population Size>, <Number of Successes>, <Sample Size>, <Variable Value v>, <Boolean Cumulative> ]
Let X be a Hypergeometric random variable.
Returns P( X = v) when Cumulative = false.
Returns P( X ≤ v) when Cumulative = true.

First three parameters are same as above.

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