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What is a binomial distribution?

Updated: 4/28/2022
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7y ago

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The binomial distribution is one in which you have repeated trials of an experiment in which the outcomes of the experiment are independent, the probability of the outcome is constant.

If there are n trials and the probability of "success" in each trail is p, then the probability of exactly r successes is (nCr)*p^r*(1-p)^(n-r) :

where nCr = n!/[r!*(n-r)!]

and n! = n*(n-1)*...*3*2*1


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A 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.

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