Binomial Approximation Applet (SageMath)
Below is the applet that demonstrates a visualization of the two approximations of the Binomial distribution, which should open automatically using Sage Cell
The Binomial distribution is displayed in red
, and you can select which distribution to approximate it with via the overlay button.
The Poisson distribution (with mean = n*p) will be overlayed in blue
, while the Normal distribution (with mean = n*p and variance = n*p*(1-p)) will be overlayed in green
Try playing around with the sliders -- Under what conditions do we have a good approximation?
This applet was made by A. Sanchez for use at Tufts University.