Variance of Bernoulli Distribution/Proof 3

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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 $n = 1$.

$\blacksquare$