Binomial distribution is the discrete probability distribution of the number of successes in a sequence of n independent yes/no experiments, each of which yields success with probability p.

If the random variable X fulfils below with parameters and , we say that X follows the binomial distribution B(n,p).

We write that as .

is binomial coefficients.

(1)

We call this distribution as Bernoulli distribution if

If , expected value , variance