ThmDex – An index of mathematical definitions, results, and conjectures.
F11195
Formulation 0
Let $X \in \text{Random}(\mathbb{R})$ be a D3161: Random real number such that
(i) $[a, b] \subset \mathbb{R}$ is a D544: Closed real interval
(ii) \begin{equation} \mathbb{P}(X \in [a, b]) = 1 \end{equation}
Then \begin{equation} \mathbb{E} X \in [a, b] \end{equation}