ThmDex – An index of mathematical definitions, results, and conjectures.
Expectation of a Bernoulli random boolean number
Formulation 0
Let $X \in \text{Bernoulli}(\theta)$ be a D207: Bernoulli random boolean number.
Then \begin{equation} \mathbb{E} X = \theta \end{equation}
Subresults
R5283: Expectation of a standard bernoulli random boolean number
Proofs
Proof 0
Let $X \in \text{Bernoulli}(\theta)$ be a D207: Bernoulli random boolean number.
This result is a particular case of R2484: Moments of a Bernoulli random boolean number. $\square$