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Thebinomial probability model If arandomvariable X hasabinomialdistribution with parameters n and p,where 0

<1, then it hasprobabilitymassfunction p(x)= ! n x - p x (1 − p) n−x ,x=0,1,2,...,n. (3) This is written X ∼ B(n, p). Thebinomial distribution provides aprobabilitymodel forthe total number of successe sinasequence of n independent Bernoullitrials, in whichthe probabilityofsuccessinasingle trial is p.

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