ThmDex – An index of mathematical definitions, results, and conjectures.

ThmDex – An index of mathematical definitions, results, and conjectures.

Result R3922 on D5208: Symmetric random real number

Gaussian random real number is symmetric about its expectation

Formulation 0

Let $X \in \text{Gaussian}(\mu, \sigma^2)$ be a D210: Gaussian random real number.

Then \begin{equation} X \overset{d}{=} 2 \mu - X \end{equation}