Related Distributions
Let X ~ Hypergeometric(, ) and .
- If then has a Bernoulli distribution with parameter .
- Let have a binomial distribution with parameters and ; this models the number of successes in the analogous sampling problem with replacement. If and are large compared to and is not close to 0 or 1, then and have similar distributions, i.e., .
- If is large, and are large compared to and is not close to 0 or 1, then
where is the standard normal distribution function
- If the probabilities to draw a white or black marble are not equal (e.g. because their size is different) then has a Noncentral hypergeometric distribution
Read more about this topic: Hypergeometric Distribution
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