ThmDex – An index of mathematical definitions, results, and conjectures.
Result R4767 on D1719: Expectation
Formulation 0
Let $X \in \mathsf{Random}[0, \infty]$ be a D5452: Random unsigned real number.
Let $\lambda > 0$ be a D993: Real number.
Then \begin{equation} \mathbb{E}(X) \geq \lambda \mathbb{P}(X \geq \lambda) \end{equation}