Binomial Approximation Applet
Below is the applet that demonstrates a visualization of the two approximations of the Binomial distribution, which should open with the Wolfram CDF player (free to install for students!).
If you would rather not install the CDF player, you can try to SageMath verison that does not require you to install anything.
If using Chrome, download and open separately by clicking here and here .
In both pictures below, the Binomial distribution is displayed in red.
In the first, the Poisson distribution (with mean = n*p) is displayed in blue.
In the second, the Normal distribution (with mean = n*p and variance = n*p*(1-p)) is displayed in green.
Try playing around with the sliders -- Under what conditions do we have a good approximation?
This applet was made by Andrew Sánchez for use at Tufts University.