ThmDex – An index of mathematical definitions, results, and conjectures.
F7140
Formulation 0
Let $X \in \text{Bernoulli}(\theta)$ be a D207: Bernoulli random boolean number.
Let $t \in \mathbb{R}$ be a D993: Real number.
Then \begin{equation} \mathbb{E}(e^{i t X}) = \theta e^{i t} + 1 - \theta \end{equation}