To learn more, read Stat Trek's tutorial on the hypergeometric distribution. Hypergeometric Distribution Calculator. The hypergeometric calculator is a smart tool that allows you to calculate individual and cumulative hypergeometric probabilities. successes of sample x x=0,1,2,.. x≦n Calculates the probability mass function and lower and upper cumulative distribution functions of the hypergeometric distribution. The term Hypergeometric distribution discrete probability or Statistics can be derived from the formula where n is the total number of objects r is the number of objects selected a total number of defective objects x is the number of defectives selected X … The Hypergeometric Calculator makes it easy to compute individual and cumulative hypergeometric probabilities. In general, you can skip the multiplication sign, so `5x` is equivalent to `5*x`. The calculator will find the hypergeometric and cumulative probabilities, as well as the mean, variance and standard deviation of the hypergeometric distribution. Hypergeometric Calculator. Show Instructions. The formula of hypergeometric distribution is given as follows. For help, read the Frequently-Asked Questions or review the Sample Problems. \( P(X=k) = \dfrac{\dbinom{K}{k} \space \dbinom{N-K}{n-k}}{\dbinom{N}{n}} \) Where: \(K\) defines the number of successes in the population \(k\) is the number of observed successes \(N\) is the population size \(n\) is the total number of draws Hypergeometric Distribution Formula.