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→Probability-generating function: def. of prob.gen.fct.
== Probability-generating function ==
== Probability-generating function ==
The [[probability-generating function]] <math>G_X(z)</math> is:
The [[probability-generating function]] <math>G_X(z) = \sum_{n=0}^\infty z^n \cdot \mathbf{P}[X=n]</math> is:
<math>G_X(z) = \frac{z\,p}{1-z(1-p)}</math>.
<math>G_X(z) = \frac{z\,p}{1-z(1-p)}</math>.