Hypergeometric distribution, Advanced Statistics

 

Hypergeometric distribution is the probability distribution related with the sampling without replacement from the population of finite size. If the population comprises of r elements of one kind and N - r of another kind, then the probability of finding x elements of the ?rst kind m when a random sample of the size n drawn is given by the following formula



365_hypergeometric distribution.png 


The mean of the x is nr/N and its variance cab be given as

1798_hypergeometric distribution1.png 


When N is big and n is small compared to N, the hypergeometric distribution can be estimated by the usage of binomial distribution.

 

Posted Date: 7/28/2012 7:27:34 AM | Location : United States







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