BINOMIAL APPROXIMATIONS

(also available as a two Mathematica cdf files, Poisson or Normal)

The Binomial distribution with chosen $p$ and $n$ is displayed in

The Poisson distribution with $\mu = np$ will be overlayed in

the Normal distribution with $\mu = np$ and $\sigma^2 = np(1-p)$ will be overlayed in

You will find that when $p$ is low, Poisson is a good approximation, but otherwise, normal is.

(also available as a two Mathematica cdf files, Poisson or Normal)

The Binomial distribution with chosen $p$ and $n$ is displayed in

**red**and has approximations overlaid.The Poisson distribution with $\mu = np$ will be overlayed in

**blue**the Normal distribution with $\mu = np$ and $\sigma^2 = np(1-p)$ will be overlayed in

**green**.You will find that when $p$ is low, Poisson is a good approximation, but otherwise, normal is.