ThmDex – An index of mathematical definitions, results, and conjectures.
F7146
Formulation 0
Let $N \in \text{Geometric}(\theta)$ be a D4001: Geometric random positive integer.
Let $n \in 1, 2, 3, \ldots$ be a D5094: Positive integer.
Then \begin{equation} \mathbb{P}(N = n) = \theta (1 - \theta)^{n - 1} \end{equation}