BINOMIAL APPROXIMATIONS
(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.
(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.