ThmDex – An index of mathematical definitions, results, and conjectures.

ThmDex – An index of mathematical definitions, results, and conjectures.

Result R4947 on D207: Bernoulli random boolean number

Variance of standard Bernoulli random boolean number

Formulation 0

Let $X \in \text{Bernoulli}(1 / 2)$ be a D3999: Standard Bernoulli random boolean number.

Then \begin{equation} \text{Var} X = \frac{1}{4} \end{equation}

Proofs

Proof 0

Let $X \in \text{Bernoulli}(1 / 2)$ be a D3999: Standard Bernoulli random boolean number.

This result is a particular case of R2483: Variance of Bernoulli random boolean number. $\square$