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Ice Cream Problem Simulation

Ice Cream Problem Simulation
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2020-05-26 08:29
CalculusProbability & StatisticsGeometric ConstructionSlider AnimationGraphing
This example demonstrates geometric and binomial distributions in probability & statistics through a simulated ice cream sales process. Core math concepts include probability, statistical characteristics, logic, calculus, and geometric/binomial distributions. GeoGebra commands/objects used in construction are Random, Length, CountIf, DotPlot, TableText, If, Sequence, Polygon. Suitable for high school and above learners to understand probability models and data handling.

GeoGebra Commands & Parameters

  1. Random(1, 6) → d1
  2. Random(1, 6) → d2
  3. Length(data) → d
  4. CountIf(10 < x < 20, data) → e1
  5. DotPlot(data) → l1
  6. TableText(m1, "c|_") → text5
  7. CountIf(20 < x < 30, data) → e2
  8. CountIf(30 < x < 40, data) → e3
  9. CountIf(40 < x < 50, data) → e4
  10. CountIf(50 < x < 60, data) → e5
  11. CountIf(60 < x < 70, data) → e6
  12. TableText(l2, l3, "c|_") → text6
  13. If(c ≟ 20, b1, If[c ≟ 30, b2, If[c ≟ 40, b3, If[c ≟ 50, b4, b5]]]) → b6
  14. Sequence(i^(2) / 36, i, 1, 5) → l4
  15. If(c ≟ 20, Element[l4, 1], If[c ≟ 30, Element[l4, 2], If[c ≟ 40, Element[l4, 3], If[c ≟ 50, Element[l4, 4], Element[l4, 5]]]]) → b7
  16. Polygon(A, B, C, D) → q1, a, b, c_1, d_1
  17. Polygon(E, F, G, H) → q2, e_1, f, g, h
  18. Polygon(I, J, K, L) → q3, i, j, k_1, l
  19. Polygon(M, N, O, P) → q4, m_1, n_1, o_1, p
  20. Polygon(Q, R, S, T) → q5, q, r, s, t
  21. If(c ≟ 20, Element[l4, 1], If[c ≟ 30, Element[l4, 2], If[c ≟ 40, Element[l4, 3], If[c ≟ 50, Element[l4, 4], Element[l4, 5]]]]) → u
  22. If(c ≟ 20, q1, If[c ≟ 30, q2, If[c ≟ 40, q3, If[c ≟ 50, q4, q5]]]) → q6

AI Drawing Prompt Reference

Create a simulation of an ice cream sales process, including two dice results d1 and d2, a DotPlot l1 based on the data set data, and counts e1 to e6 for different sales ranges. Use these data to draw five equilateral triangles q1 to q5 with side lengths of 1/6, 1/3, 1/2, 2/3, and 5/6 respectively, and select different triangles based on the value of c.
The prompt above was compiled from the original drawing commands and is for reference only.