- publishing free software manuals
 GNU Scientific Library Reference Manual - Third Edition (v1.12) by M. Galassi, J. Davies, J. Theiler, B. Gough, G. Jungman, P. Alken, M. Booth, F. RossiPaperback (6"x9"), 592 pages, 60 figuresISBN 0954612078RRP £24.95 (\$39.95)

## 19.31 The Binomial Distribution

Function: unsigned int gsl_ran_binomial (const gsl_rng * r, double p, unsigned int n)
This function returns a random integer from the binomial distribution, the number of successes in n independent trials with probability p. The probability distribution for binomial variates is,
p(k) = {n! \over k! (n-k)! } p^k (1-p)^{n-k}


for 0 <= k <= n.

Function: double gsl_ran_binomial_pdf (unsigned int k, double p, unsigned int n)
This function computes the probability p(k) of obtaining k from a binomial distribution with parameters p and n, using the formula given above.

Function: double gsl_cdf_binomial_P (unsigned int k, double p, unsigned int n)
Function: double gsl_cdf_binomial_Q (unsigned int k, double p, unsigned int n)
These functions compute the cumulative distribution functions P(k), Q(k) for the binomial distribution with parameters p and n.
 ISBN 0954612078 GNU Scientific Library Reference Manual - Third Edition (v1.12) See the print edition