Mdm of the Binomial distribution

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Statement

Let $n\in\mathbb{N}_{\ge 1}$ and $p\in[0,1]\subseteq$$\mathbb{R}$ and:

• $X\sim$$\text{Bin}$$(n,p)$ - so $X$ is a Binomial random variable

We will calculate the Mdm of $X$, $\E{\big\vert X-\E{X}\big\vert}$

Proof

• $\Mdm(X)$