Difference between revisions of "HyperGeometric distribution"

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== HyperGeometric(Trials, PosEvents, Size) ==
 
== HyperGeometric(Trials, PosEvents, Size) ==
  
The hypergeometric distribution describes the number of times an event occurs in a fixed number of trials without replacement -- e.g., the number of red balls in a sample of «Trials» balls drawn without replacement from an urn containing «Size» balls of which «PosEvents» are red. Thus, the parameters are:
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The hypergeometric distribution describes the number of times an event occurs in a fixed number of trials without replacement -- e.g., the number of red balls in a sample of «Trials» balls drawn without replacement from an urn containing «Size» balls of which «PosEvents» are red.  
:«Trials»: The sample size -— e.g., the number of balls drawn from an urn without replacement. Cannot be larger than «Size».
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:«PosEvents»: The total number of successful events in the population -- e.g, the number of red balls in the urn.
+
Thus, the parameters are:
:«Size»: The population size -- e.g., the total number of balls in the urn, red and non-red.
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;«Trials»: The sample size -— e.g., the number of balls drawn from an urn without replacement. Cannot be larger than «Size».
 +
;«PosEvents»: The total number of successful events in the population -- e.g, the number of red balls in the urn.
 +
;«Size»: The population size -- e.g., the total number of balls in the urn, red and non-red.
  
 
== Library ==
 
== Library ==
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== See Also ==
 
== See Also ==
 
* [[Geometric]]
 
* [[Geometric]]
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* [[Prob_HyperGeometric]]
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* [[Prob_Geometric]]
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* [[CumGeometric]]
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* [[CumGeometricInv]]
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* [[Parametric discrete distributions]]
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* [[Distribution Densities Library]]

Revision as of 22:49, 27 January 2016


HyperGeometric(Trials, PosEvents, Size)

The hypergeometric distribution describes the number of times an event occurs in a fixed number of trials without replacement -- e.g., the number of red balls in a sample of «Trials» balls drawn without replacement from an urn containing «Size» balls of which «PosEvents» are red.

Thus, the parameters are:

«Trials»
The sample size -— e.g., the number of balls drawn from an urn without replacement. Cannot be larger than «Size».
«PosEvents»
The total number of successful events in the population -- e.g, the number of red balls in the urn.
«Size»
The population size -- e.g., the total number of balls in the urn, red and non-red.

Library

Distributions

See Also

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