ThmDex – An index of mathematical definitions, results, and conjectures.
F11632
Formulation 0
Let $X \in \text{Bernoulli}(\theta)$ be a D207: Bernoulli random boolean number.
Let $n \in \{ 1, 2, 3, \ldots \}$ be a D5094: Positive integer.
Then \begin{equation} \mathbb{E} X^n = \theta \end{equation}