Difference between revisions of "HyperGeometric Command"
From GeoGebra Manual
m |
m (Text replace - ";(.*)\[(.*)\]" to ";$1($2)") |
||
Line 1: | Line 1: | ||
<noinclude>{{Manual Page|version=5.0}}</noinclude>{{command|cas=true|probability}} | <noinclude>{{Manual Page|version=5.0}}</noinclude>{{command|cas=true|probability}} | ||
− | ;HyperGeometric | + | ;HyperGeometric( <Population Size>, <Number of Successes>, <Sample Size>): |
: Returns a bar graph of a [[w:Hypergeometric distribution|Hypergeometric distribution]]. | : Returns a bar graph of a [[w:Hypergeometric distribution|Hypergeometric distribution]]. | ||
:''Parameters:'' | :''Parameters:'' | ||
Line 8: | Line 8: | ||
The bar graph shows the probability function of the number of white balls in the sample. | The bar graph shows the probability function of the number of white balls in the sample. | ||
− | ;HyperGeometric | + | ;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 Hypergeometric distribution when ''Cumulative'' = false. | ||
: Returns the graph of a cumulative Hypergeometric distribution when ''Cumulative'' = true. | : Returns the graph of a cumulative Hypergeometric distribution when ''Cumulative'' = true. | ||
: First three parameters are same as above. | : First three parameters are same as above. | ||
− | ;HyperGeometric | + | ;HyperGeometric( <Population Size>, <Number of Successes>, <Sample Size>, <Variable Value>, <Boolean Cumulative> ) |
: Let X be a Hypergeometric random variable and v the variable value. | : Let X be a Hypergeometric random variable and v the variable value. | ||
: Returns P( X = ''v'') when ''Cumulative'' = false. | : Returns P( X = ''v'') when ''Cumulative'' = false. | ||
Line 22: | Line 22: | ||
In the [[File:Menu view cas.svg|link=|16px]] [[CAS View]] you can use only the following syntax: | In the [[File:Menu view cas.svg|link=|16px]] [[CAS View]] you can use only the following syntax: | ||
− | ;HyperGeometric | + | ;HyperGeometric( <Population Size>, <Number of Successes>, <Sample Size>, <Variable Value>, <Boolean Cumulative> ): |
:Let X be a Hypergeometric random variable and v the variable value. | :Let X be a Hypergeometric random variable and v the variable value. | ||
:Returns P( X = ''v'') when ''Cumulative'' = false. | :Returns P( X = ''v'') when ''Cumulative'' = false. |
Revision as of 17:17, 7 October 2017
- 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 the 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>, <Boolean Cumulative> )
- Let X be a Hypergeometric random variable and v the variable value.
- Returns P( X = v) when Cumulative = false.
- Returns P( X ≤ v) when Cumulative = true.
- First three parameters are same as above.
CAS Syntax
In the CAS View you can use only the following syntax:
- HyperGeometric( <Population Size>, <Number of Successes>, <Sample Size>, <Variable Value>, <Boolean Cumulative> )
- Let X be a Hypergeometric random variable and v the variable value.
- Returns P( X = v) when Cumulative = false.
- Returns P( X ≤ v) when Cumulative = true.
- The first three parameters are the same as above.
- Example:Assume you select two balls out of ten balls, two of which are white, without putting any back.
HyperGeometric[10, 2, 2, 0, false]
yields \frac{28}{45}, the probability of selecting zero white balls,HyperGeometric[10, 2, 2, 1, false]
yields \frac{16}{45}, the probability of selecting one white ball,HyperGeometric[10, 2, 2, 2, false]
yields \frac{1}{45}, the probability of selecting both white balls,HyperGeometric[10, 2, 2, 3, false]
yields 0, the probability of selecting three white balls.HyperGeometric[10, 2, 2, 0, true]
yields \frac{28}{45}, the probability of selecting zero (or less) white balls,HyperGeometric[10, 2, 2, 1, true]
yields \frac{44}{45}, the probability of selecting one or less white balls,HyperGeometric[10, 2, 2, 2, true]
yields 1, the probability of selecting two or less white balls andHyperGeometric[10, 2, 2, 3, true]
yields 1, the probability of selecting three or less white balls.