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   The Hypergeometric Distribution

The hypergeometric distribution arises when a random selection (without repetition) is made among objects of two distinct types. Typical examples:

  • Choose a team of 8 from a group of 10 boys and 7 girls
  • Choose a committee of five from the legislature consisting of 52 Democrats and 48 Republicans

The hypergeometric distribution is described by three parameters: N, the total number of objects; R, the number of objects of the first type; and k the number of objects to be chosen. The probability function f(x) is
f(x) = C(R,x)*C(N-R, k-x) / C(N,k) for x=max(0,k+R-N)..min(R,k)

Hyperdistribution Applet  
 




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