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Distributionsmedium
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If XXX follows a Geometric distribution P(X=k)=p(1−p)k−1P(X=k) = p(1-p)^{k-1}P(X=k)=p(1−p)k−1 for k=1,2,…k=1, 2, \dotsk=1,2,…, what is the probability generating function GX(s)=E[sX]G_X(s) = E[s^X]GX​(s)=E[sX]?