ThmDex – An index of mathematical definitions, results, and conjectures.

ThmDex – An index of mathematical definitions, results, and conjectures.

Result R2485 on D4001: Geometric random positive integer

Expectation of geometric random basic positive integer

Formulation 0

Let $X \in \text{Geometric}(\theta)$ be a D4001: Geometric random positive integer.

Then \begin{equation} \mathbb{E} X = \frac{1}{\theta} \end{equation}