Returns the probability that a beta binomially distributed random variable is less than or equal to k.

The cdf for the binomial distribution with n trials, probability p of success for each trial, and k successes.

Returns the probability that a gamma-Poisson distributed random variable is less than or equal to k.

Returns the cumulative distribution function at x for the hypergeometric distribution with population size N, K items in the category of interest, sample size n, count of interest x, and optional odds ratio r.

Returns the probability that a negative binomially distributed random variable is less than or equal to k, where the probability of success is p and the number of successes is n.

Returns the probability that a negative binomially distributed random variable is equal to k, where the probability of success is p and the number of successes is n.