Evaluates the binomial cumulative probability distribution function.
int
specifying the argument for which the binomial distribution function is to be evaluated. int
specifying the number of Bernoulli trials. double
specifying the probability of success on each independent trial. A double
specifying the probability that a binomial random variable takes a value less than or equal to k. This value is the probability that k or fewer successes occur in n independent Bernoulli trials, each of which has a pin probability of success.
Method Binomial
evaluates the distribution function of a binomial random variable with parameters n and p with p=pin. It does this by summing probabilities of the random variable taking on the specific values in its range. These probabilities are computed by the recursive relationship
To avoid the possibility of underflow, the probabilities are computed forward from 0, if k is not greater than n times p, and are computed backward from n, otherwise. The smallest positive machine number, , is used as the starting value for summing the probabilities, which are rescaled by if forward computation is performed and by if backward computation is done. For the special case of p = 0, Binomial
is set to 1; and for the case p = 1, Binomial
is set to 1 if k = n and to 0 otherwise.
Cdf Class | Imsl.Stat Namespace | Example