Difference between revisions of "HyperGeometric Command"
From GeoGebra Manual
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In [[CAS View]] only one syntax is allowed: | In [[CAS View]] only one syntax is allowed: | ||
;HyperGeometric[ <Population Size>, <Number of Successes>, <Sample Size>, <Variable Value v>, <Boolean Cumulative> ]: | ;HyperGeometric[ <Population Size>, <Number of Successes>, <Sample Size>, <Variable Value v>, <Boolean Cumulative> ]: | ||
− | : Let X be a Hypergeometric random variable. | + | :Let X be a Hypergeometric 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 three parameters are same as above. | + | :First three parameters are same as above. |
+ | :{{example| 1=<div> | ||
+ | *<code><nowiki>HyperGeometric[10, 2, 2, 0, false]</nowiki></code> yields <math>\frac{28}{45}</math>, | ||
+ | *<code><nowiki>HyperGeometric[10, 2, 2, 1, false]</nowiki></code> yields <math>\frac{16}{45}</math>, | ||
+ | *<code><nowiki>HyperGeometric[10, 2, 2, 2, false]</nowiki></code> yields <math>\frac{1}{45}</math>, | ||
+ | *<code><nowiki>HyperGeometric[10, 2, 2, 3, false]</nowiki></code> yields ''0'', | ||
+ | *<code><nowiki>HyperGeometric[10, 2, 2, 0, true]</nowiki></code> yields <math>\frac{28}{45}</math>, | ||
+ | *<code><nowiki>HyperGeometric[10, 2, 2, 1, true]</nowiki></code> yields <math>\frac{44}{45}</math>, | ||
+ | *<code><nowiki>HyperGeometric[10, 2, 2, 2, true]</nowiki></code> yields ''1'' and | ||
+ | *<code><nowiki>HyperGeometric[10, 2, 2, 3, true]</nowiki></code> yields ''1''. | ||
+ | </div>}} |
Revision as of 14:31, 17 August 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 three parameters are same as above.
- 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.
CAS 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.
- Example:
HyperGeometric[10, 2, 2, 0, false]
yields \frac{28}{45},HyperGeometric[10, 2, 2, 1, false]
yields \frac{16}{45},HyperGeometric[10, 2, 2, 2, false]
yields \frac{1}{45},HyperGeometric[10, 2, 2, 3, false]
yields 0,HyperGeometric[10, 2, 2, 0, true]
yields \frac{28}{45},HyperGeometric[10, 2, 2, 1, true]
yields \frac{44}{45},HyperGeometric[10, 2, 2, 2, true]
yields 1 andHyperGeometric[10, 2, 2, 3, true]
yields 1.