Binomial distribution *B(n,p)* is a distribution of a number of successes in a sequence of *n* experiments, each of which yields success with probability *p*. Important limiting cases of this distribution are Poisson distribution and normal distribution.

If *X* - binomial random variable:

**BinomialDistribution** and **BinomialCDistribution** subroutines calculate *P(x ≤ k)* and *P(x > k)* with given *n*, *p* and *k*. Subroutines use the above mentioned formula which calculates the cumulative distribution function by using an incomplete beta-function.

- http://mathworld.wolfram.com/BinomialDistribution.html

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