Variance of Bernoulli Distribution/Proof 3
Jump to navigation
Jump to search
Theorem
Let $X$ be a discrete random variable with the Bernoulli distribution with parameter $p$:
- $X \sim \Bernoulli p$
Then the variance of $X$ is given by:
- $\var X = p \paren {1 - p}$
Proof
We can simply use the Variance of Binomial Distribution, putting $n = 1$.
$\blacksquare$