ThmDex – An index of mathematical definitions, results, and conjectures.
F7141
Formulation 0
Let $B \in \text{Binomial}(N, \theta)$ be a D208: Binomial random natural number.
Let $t \in \mathbb{R}$ be a D993: Real number.
Then \begin{equation} \mathbb{E}(e^{i t B}) = (\theta e^{i t} + 1 - \theta)^N \end{equation}