The Binomial Distribution#
-
gsl_ran_binomial(p, n)#
This function returns a random integer from the binomial distribution, the number of successes in
n
independent trials with probabilityp
. The probability distribution for binomial variates is,\[p(k) = {n! \over k! (n-k)! } p^k (1-p)^{n-k}\]for \(0 \leq k \leq n\).
-
gsl_ran_binomial_pdf(k, p, n)#
This function computes the probability \(p(k)\) of obtaining \(k\) from a binomial distribution with parameters
p
andn
, using the formula given above.
-
gsl_cdf_binomial_P(k, p, n)#
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gsl_cdf_binomial_Q(k, p, n)#
These functions compute the cumulative distribution functions \(P(k), Q(k)\) for the binomial distribution with parameters
p
andn
.