Lecture Topic: Binomial Distribution

# Requirements of Binomial Experiments
- (n) independent trials
- Possible outcomes: success (S) and failure (F)
- Success probability (p)

## Formula
The pmf of binomial rv $X$ depends on two parameters $n$ and $p$. We denote the pmf by $b(x; n,p)$
$$b(x;n,p) = \{
\begin{pmatrix}
n \\
p \\
\end{pmatrix}
p^x(1-p)^{n-x}
\}$$
$x = 0, 1, 2, ..., n$

If X ~ b(x; n,p), then 
1. E(X) = np
2. V(X) = np(1-p)

# Examples
Examples in posted pdf