Let $X \in \text{Random} \{ -1, 1 \}$ be a D5075: Random integer such that
Let $t \in \mathbb{R}$ be a D993: Real number.
(i) | \begin{equation} \mathbb{P}(X = -1) = \mathbb{P}(X = 1) = \frac{1}{2} \end{equation} |
Then
\begin{equation}
\mathbb{E}(e^{i t X})
= \cos (t)
\end{equation}