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?