476 B
476 B
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
- E(X) = np
- V(X) = np(1-p)
Examples
Examples in posted pdf