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Probability Distributions Demo by Adam Knowles

Probability Distributions Demo by Adam Knowles
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2017-10-03 11:05
FunctionProbability & StatisticsGraphing
This example demonstrates the graphical representation and calculation of binomial, Poisson, and uniform distributions. It involves core math concepts like probability statistics, distribution functions, mean and variance, and statistical charts. Constructed using GeoGebra commands BinomialDist, Poisson, Uniform, BarChart, If, with objects like n, p, Binom, g, m, Poisson, d, a, b, f, c, A1-A26, B1-B2. Suitable for high school students and teachers for probability statistics teaching and visualization exploration.

GeoGebra Commands & Parameters

  1. BinomialDist(n, p) → Binom
  2. Poisson(m) → Poisson
  3. Uniform(a, b, x) → f
  4. BarChart(ZPlus, Geo) → Geometric
  5. BarChart(ZPlus, NB) → NegBin
  6. BarChart(ZPlus, DU) → DiscreteUniform
  7. If(A2 ≤ 1, k, 0) → i
  8. If(A2 ≤ n, k, 0) → D2
  9. If(A3 ≤ n, k, 0) → D3
  10. If(A4 ≤ n, k, 0) → D4
  11. If(A5 ≤ n, k, 0) → D5
  12. If(A6 ≤ n, k, 0) → D6
  13. If(A7 ≤ n, k, 0) → D7
  14. If(A8 ≤ n, k, 0) → D8
  15. If(A9 ≤ n, k, 0) → D9
  16. If(A10 ≤ n, k, 0) → D10
  17. If(A11 ≤ n, k, 0) → D11
  18. If(A12 ≤ n, k, 0) → D12
  19. If(A13 ≤ n, k, 0) → D13
  20. If(A14 ≤ n, k, 0) → D14
  21. If(A15 ≤ n, k, 0) → D15
  22. If(A16 ≤ n, k, 0) → D16
  23. If(A17 ≤ n, k, 0) → D17
  24. If(A18 ≤ n, k, 0) → D18
  25. If(A19 ≤ n, k, 0) → D19
  26. If(A20 ≤ n, k, 0) → D20
  27. If(A21 ≤ n, k, 0) → D21
  28. If(A22 ≤ n, k, 0) → D22
  29. If(A23 ≤ n, k, 0) → D23
  30. If(A24 ≤ n, k, 0) → D24
  31. If(A25 ≤ n, k, 0) → D25
  32. If(A26 ≤ n, k, 0) → D26

AI Drawing Prompt Reference

Create a probability distribution demonstration graph including binomial, Poisson, and uniform distributions. Use n and p to plot the binomial distribution, m for the Poisson distribution, and a and b for the uniform distribution. Then, plot the corresponding bar charts to show the probability density of each distribution.
The prompt above was compiled from the original drawing commands and is for reference only.