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Identify Probability Distributions

Identify Probability Distributions
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2013-09-20 02:42
FunctionProbability & StatisticsSlider AnimationGraphing
This applet provides several distributions for students to determine if they are probability distributions. Key mathematical concepts include probability and statistics. Using GeoGebra commands such as Sequence, Element, Sum, Mod, If, Sort, and Segment, students can visually understand the characteristics of probability distributions. Suitable for high school and above students learning probability and statistics.

GeoGebra Commands & Parameters

  1. Sequence(Mod[3 + (8 * k), 23], k, 1, 24) → OpSq
  2. Element(OpSq, Seed) → Opt
  3. Sequence(Mod[Seed + (Opt * k), Sz1] - round(Sz1 / 2), k, 1, Sz1) → ErSq1
  4. Sequence(round(100 / Sz1), k, 1, Sz1) → FrSq0
  5. Sequence(Element[FrSq0, k] + Element[ErSq1, k], k, 1, Sz1) → FrSq1
  6. Sum(FrSq1) → FrqSm
  7. Sequence(round((100 * Element[FrSq1, k] / FrqSm)) / 100, k, 1, Sz1) → PrSq1
  8. Sequence(Element[PrSq1, k], k, 1, Sz1 - 1) → PrSq2
  9. Sum(PrSq2) → PrS2
  10. Mod(Opt, 6) → Rslt
  11. If(Rslt ≟ 0, Sz1 + 1, Sz1) → Sz2
  12. Element(NwPrSq, Rslt + 1) → NwPrb
  13. If(Rslt ≟ 0, Insert[{NwPrb1, NwPrb1A}, PrSq2, Pos], Insert[{NwPrb}, PrSq2, Pos]) → PrSq3
  14. Sum(PrSq3) → PrS3
  15. Sequence(Mod[2 + (7 * k), 18] + 1, k, 1, 5) → StSq
  16. Element(StSq, Mod[Opt, 5] + 1) → St1
  17. Element(RtSq, Mod[Opt, 6] + 1) → Rt1
  18. If(Rslt ≤ 1, 91, If[Rslt ≟ 2, 97, 107]) → ModNm
  19. Sequence(Mod[St1 + (k * Rt1), 19] + 2, k, 1, Sz1 - 1) → DvSq1
  20. Sort(DvSq1) → DvSq2
  21. Element(ErSq2, Mod[Opt, 4] + 1) → Err
  22. Sequence(St2 + (k * Rt2), k, 1, Sz2) → TbTR1
  23. Segment(TbLT, TbLB) → tblf
  24. Segment(TbLT, TbRT) → tbtp
  25. Segment(TbLB, TbRB) → tbbt
  26. Segment(TbMB, TbMT) → tdlf
  27. Segment(TbLM, TbRM) → tbhm
  28. Element(CatSq, Mod[Opt, 5] + 1) → TbTR2
  29. If(NwPrb < 0, 1, If[NwPrb > 1, 2, If[PrS3 < 1, 3, If[PrS3 > 1, 4, 5]]]) → AnNm
  30. Element(AnSq, AnNm) → An0
  31. If(Rslt ≟ 3, PrSL, If[Rslt ≟ 4, PrSH, PrS3]) → PrS0
  32. Sequence(Mod[Element[OpSq, k], 6], k, 1, 24) → ReSq
  33. Sum(PrSq1) → PrS4
  34. If(Rslt ≟ 0, Insert[{NwPrb1, NwPrb1A}, PrSq2, Pos], Insert[{NwPrb}, PrSq2, Pos]) → PrSq5
  35. Sequence(Text[Element[TbTR1, k], (0.5 + (TbCW * k), TbTp - TbCH + 0.1)], k, 1, Sz2) → TbTRTx1
  36. Sequence(Text[Element[PrSq3, k], ((TbCW * k) + 0.35, TbTp - (2 * TbCH) + 0.1)], k, 1, Sz2) → TbBR
  37. Sequence(Segment[(TbDL + (k * TbCW), TbTp), (TbDL + (k * TbCW), TbTp - (2 * TbCH))], k, 1, Sz2) → TbVLSq
  38. Sequence(Text[Element[TbTR2, k], (0.1 + (TbCW * k), TbTp - TbCH + 0.1)], k, 1, Sz2) → TbTRTx2

AI Drawing Prompt Reference

Create a graph showing multiple probability distributions for educational purposes. Display a series of data points in different colors and shapes, controlled by sliders. Highlight key features of probability distributions, including frequency histograms and probability density curves, along with mathematical calculations. Start by plotting basic data points, then generate frequency and probability distributions, and finally differentiate between distribution types using various colors and line styles, labeling key values.
The prompt above was compiled from the original drawing commands and is for reference only.