Binomial and Poisson Exploration

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2012-02-25 07:45

In collections Statistics and Probability with Mr Downes probability

This example demonstrates binomial and Poisson distributions using dice, constructed via spreadsheet or sliders. Core math concepts include probability & statistics, discrete distributions, and stochastic processes. Key GeoGebra commands used are BinomialDist, Sequence, Element, and Poisson. Suitable for high school and above students in probability statistics education.

GeoGebra Commands & Parameters

BinomialDist(n, p) → a
Sequence(n! / (r! * (n - r)!) * p^(r) * (1 - p)^(n - r), r, 0, n) → list1
Sequence(r, r, 0, n) → list2
Sequence((r, n! / (r! * (n - r)!) * p^(r) * (1 - p)^(n - r)), r, 0, n) → list3
Element(list3, n_k + 1) → c
Sequence((r, m^(r) * ℯ^(-m) / r!), r, 0, n) → list4
Element(list4, n_k + 1) → A
Poisson(m) → b