ThmDex – An index of mathematical definitions, results, and conjectures.
F11244
Formulation 0
Let $N \in \text{Geometric}(\theta)$ be a D4001: Geometric random positive integer.
Let $n \in \mathbb{N}$ be a D996: Natural number.
Then \begin{equation} \mathbb{P}(N \leq n) = 1 - (1 - \theta)^n \end{equation}