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[tex] P (X=r) =^nC_r p^r q^{n-r} , r= 0, 1, 2,...., n [/tex]

where [tex] X: B(n,p) [/tex]

where n is the total number of bernoulli experiments,

p the probability of success

q, the probability of failure.

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# Derivation of the probability distribution function of a binomial distribution

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