> [!NOTE] Theorem > Let $X$ be a [[Square-Integrable Continuous Real-Valued Random Variable|square-integrable continuous real-valued random variable]] whose [[Probability Density Function|probability density function]] is given by $f_{X}.$ The [[Variance of a Square-Integrable Continuous Real-Valued Random Variable|variance]] of $X$ is given by $\text{Var}(X)=\mathbb{E}[X^{2}]-(\mathbb{E}[X])^{2}$where $\mathbb{E}$ denotes [[Expectation of Continuous Uniform Distribution|expectation]]. **Proof**: ...