Binomial distribution is the discrete probability distribution of the number of successes in a sequence of independent yes/no experiments, each of which yields success with probability. Such a success/failure experiment is also called a Bernoulli experiment or Bernoulli trial. In fact, when n = 1, the binomial distribution is a Bernoulli distribution. Binomial distribution is the basis of probability and statistics as well as binomial test of statistical significance.
Binomial distribution is frequently used to identify the numbers of successes in a sample of data while if the samples are independent, the resulting distribution will be identified as hyper geometric distribution. Binomial distribution is used in Binomial probability, Binomial inverse theorem, Binomial series, Combination, Sterling’s approximation, Multinomial theorem, Negative binomial distribution, Pascal’s triangle and Binomial approximation.
Binomial distribution can be specified in several terms depending on the used method such as probability mass function and cumulative distribution function (including mean, mode and median). Binomial distribution is a topic of statistics and mathematics related with other distributions too like Bernoulli distribution, Poisson binomial distribution, Normal approximation, etc.