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binomial distribution


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The discrete probability distribution for the number of successes when n independent experiments are carried out, each with the same probability p of success. The probability mass function is given by Pr(X=r)=nCrpr(1−p)nr, for r=0, 1, 2,…, n. This distribution is denoted by B(n, p) and has mean np and variance np(1−p).

Subjects: Probability and Statistics.


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