public static double Binomial(
	int k,
	int n,
	double pin
)

Public Shared Function Binomial ( 
	k As Integer,
	n As Integer,
	pin As Double
) As Double

public:
static double Binomial(
	int k, 
	int n, 
	double pin
)

static member Binomial : 
        k : int * 
        n : int * 
        pin : float -> float 

Parameters

k

Type: SystemInt32
The int argument for which the binomial distribution function is to be evaluated.

n

Type: SystemInt32
The int number of Bernoulli trials.

pin

Type: SystemDouble
A double scalar value representing the probability of success on each independent trial.

Return Value

Method Pdf.Binomial evaluates the probability that a binomial random variable with parameters n and p with p=pin takes on the value k. It does this by computing probabilities of the random variable taking on the values in its range less than (or the values greater than) k. 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 , and are computed backward from n, otherwise. The smallest positive machine number, , is used as the starting value for computing 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, Pdf.Binomial is set to 0 if k is greater than 0 and to 1 otherwise; and for the case p = 1, Pdf.Binomial is set to 0 if k is less than n and to 1 otherwise.

Reference

Other Resources