Binomial distribution

In mathematics, binomial distribution with parameters n and p is the probability distribution in a succession of n independent experiments each asking a Bernoulli trial with parameter p, which is a random experiment with two possible issues, generally called « success » and « failure ». Probability of a success is p and the pobability of a failure is q = 1 – p.
We count the number of successes obtained after n experiments and we call X the random variable representing this number of successes.