Statistics › Section D · Discrete random variables › Topic D.5

The hypergeometric distribution

The binomial model could not handle drawing without replacement from a small population, where every draw changes what remains. The hypergeometric distribution is the model for exactly that: sampling from a finite two-group population and counting the group of interest.

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In this topic

Binomial's twin, without replacement
The hypergeometric setting
Notation: three parameters
The formula
The mean
Worked example: a project team
Worked example: the crate of bottles
When the population is large
Common mistakes to avoid
Key takeaways

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