Binocdf

Definition:

$prob = binocdf(k, n, p)$ computes the lower tail, upper tail and point probabilities in given value $k$ , associated with a Binomial distribution using the corresponding parameters in $n$ , $p$ .

Here is lower tailed probability:

$P(X\le k)=\sum_{i=0}^k P(X=i)=\sum_{i=0}^k {n \choose k}p^i(1-p)^{n-i}$

Parameters:

k (input, int): The integer $k$ , number of successes, which defines the required probabilities. $0\le k \le n$
n (input, int): The parameter $n$ , number of trials of a Bernoulli process, of the Binomial distribution. $n\ge 0$ .

p (input, double): The parameter $p$ , probability of success for each trial, of the Binomial distribution. $0 < p < 1$ .
prob(output, double): The probability.