Let $X \in \text{Gaussian}(0, 1)$ be a D211: Standard gaussian random real number such that

(i) | \begin{equation} Y : = - X \end{equation} |

Then

(1) | \begin{equation} X \overset{d}{=} Y \end{equation} |

(2) | \begin{equation} X X \overset{d}{\neq} Y X \end{equation} |