Excess Kurtosis of Binomial Distribution

Theorem
Let $X$ be a discrete random variable with a binomial distribution with parameters $n$ and $p$ for some $n \in \N$ and $0 \le p \le 1$:

Then the excess kurtosis $\gamma_2$ of $X$ is given by:


 * $\gamma_2 = \dfrac {1 - 6 p q} {n p q}$

where $q = 1 - p$.