Glossary of Statistical Terms: Definition Binomial distribution

Binomial distribution describes the likely outcome of a result sequence in a uniform experiment which only allows for two different outcomes. It is one of the most popular distributions in statistics. Binomial distributions trace their origin to the Bernoulli process, which the famous coin toss also belongs to. Of particular interest in this distribution is how often one of the two possible events (A&B) occur in a particular number of executions. For example, the probability that a black ball is drawn four times in succession from a bowl filled with 5 red and 50 black balls if the balls are placed back after every draw can be calculated utilizing the binominal distribution (incidentally, the chance is about two-thirds).

Please note that the definitions in our statistics encyclopedia are simplified explanations of terms. Our goal is to make the definitions accessible for a broad audience; thus it is possible that some definitions do not adhere entirely to scientific standards.

Entries starting with B