Cdf.HypergeometricProb Method

Evaluates the hypergeometric probability density function.

public static double HypergeometricProb(
   int k,
   int sampleSize,
   int defectivesInLot,
   int lotSize
);

Parameters

k: An int specifying the argument at which the function is to be evaluated.
sampleSize: An int specifying the sample size, n.
defectivesInLot: An int specifying the number of defectives in the lot, m.
lotSize: An int specifying the lot size, l.

Return Value

A double specifying the probability that a hypergeometric random variable takes a value equal to k.

Remarks

Method HypergeometricProb evaluates the probability function of a hypergeometric random variable with parameters n, l, and m. The hypergeometric random variable X can be thought of as the number of items of a given type in a random sample of size n that is drawn without replacement from a population of size l containing m items of this type. The probability function is:

${\rm{Pr}}\left( {X = k} \right) = \frac{{\left( {_k^m } \right)\left( {_{n - k}^{l - m} } \right)}}{{\left( {_n^l } \right)}}{\rm{for}} \,\,\, k = i,\;i + 1,\,i + 2\; \ldots ,\;\min \left( {n,m} \right)$

where i = max(0, n - l + m). HypergeometricProb evaluates the expression using log gamma functions.

Cdf.HypergeometricProb Method

Parameters

Return Value

Remarks

See Also