Abstract

The binomial distribution is based on ‘Bernoulli trials’ in which there are only two possible outcomes for each trial and their probabilities (p and q) remain the same throughout the trials. The total number of a particular outcome (such as ‘head’ in coin tossing) in n trials can be 0, 1, 2,…, n, and the probability (prob(i)) of having i particular outcomes is given by nCipiqn−i. Because this is the ith term of the binomial expansion of (p + q)n, this probability distribution is called ‘binomial distribution’.

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