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} a \overset{a.s.}{\leq} X \overset{a.s.}{\leq} b \end{equation}

Then \begin{equation} \mathbb{E} X \in [a, b] \end{equation}