## GeoGebra: Binomial Distribution with Normal and Poisson Approximation

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This applet is for visualising the Binomial Distribution, with control over n and p.

It also shows the Normal Approximation curve (and how this approximation breaks down for large or small p)

and it shows the Poisson Approximation curve (and how his approximation breaks down if there’s no positive skew)

You can show critical regions at either end by turning the bars red instead of green. The appropriate cumulative binomial probabilities are shown.

Very helpful for my lessons – many thanks

Nice applet! Can you extend n-max from 50 to 100? I use the conditions np and nq both at least 10 for the normal approximation to the binomial. For p = .1, n = 100 is needed.

Thank you

Hi Michael, glad you like the applet! I originally had n-max set to 100, but it makes the applet too slow. It’s bad enough set at 50 in HTML5 mode. If you like, download the file and you can modify n-max from within the GeoGebra application.

Excellent applet Micky.