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Thegeometricdistribution Supposethatinasequence of inde pendent Bernoullitrials, the probabilityofsuccessisconst antfromtrial to trialand equal to p, where0

<1. Then thenumberoftrialsuptoand including the first successisarandomvariable X with probability massfunction given by p(x)=P(X=x)=(1 − p) x−1 p,x=1,2,3,.... (4) Therandomvariable X is said to haveageometricdistribution with parameter p.This is written X ∼ G(p).

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owner: Gavin - (no access) - m248_unit03_e2i1.pdf, p22


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