Category:Moment Generating Function of Binomial Distribution

This category contains pages concerning Moment Generating Function of Binomial Distribution:

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

$X \sim \Binomial n p$

Then the moment generating function $M_X$ of $X$ is given by:

$\map {M_X} t = \paren {1 - p + p e^t}^n$