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3.5.3.1.15 Hygecdf

Definition:

prob = hygecdf(k, m, n, l) computes the lower tail probabilities in given value , associated with a hypergeometric distribution

The lower tailed probability:

$P(X\leq k)=\sum_{i=0}^kP(X=i)=\sum_{i=0}^k\frac {{m \choose i}{n-m \choose l-i} }{{n \choose l} }$

where

$n$ : The population size
$m$ : The number of success states in the population
$l$ : The number of samples drawn

Parameters:

$k$ (input, int): the integer k which defines the required probabilities.
$m$ (input, int): the parameter m of the hypergeometric distribution.
$n$ (input, int): the parameter n of the hypergeometric distribution.
$l$ (input, int): the parameter l of the hypergeometric distribution.
$prob$ (output,double): the probability.