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