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Probability Distribution Reference Points and Geometric Construction

Probability Distribution Reference Points and Geometric Construction
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2015-09-08 02:49
Probability & StatisticsGeometric ConstructionGraphing
In collections Complex Math
This example demonstrates how to use geometric shapes and probability distributions together to create reference points for understanding the normal distribution. Key mathematical concepts include probability and statistics, geometric construction, and graphing functions. Construction involves using GeoGebra commands such as Vector, Segment, Point, Polygon, Circle, Area, etc. Suitable for high school students or college students learning probability statistics and geometric construction.

GeoGebra Commands & Parameters

  1. Vector((d, 0)) → u
  2. Vector((d, 0), (d, c)) → v
  3. Segment(B, A) → t
  4. Point(u) → C
  5. Polygon(B, A, C) → poly1, c_1, b_1, a_x
  6. Point(v) → D
  7. Polygon(B, D, C) → poly2, c_2, b_2, d_1
  8. Vector((d, 0), (d, b)) → w
  9. Point(w) → E
  10. Circle(B, C) → q
  11. Circle(B, E) → h
  12. Circle(B, D) → k
  13. Area(k) → r
  14. PointIn(k) → Pointk
  15. Area(h) → j
  16. PointIn(h) → Pointh
  17. Area(q) → l
  18. PointIn(q) → Pointq
  19. Integral(p, 0, 0.851) → RV
  20. Integral(s, 0, 1) → normal
  21. Segment(F, G) → e
  22. Point(w) → H
  23. OrthogonalLine(H, w) → i
  24. Point(i) → I
  25. Point(i) → J
  26. Segment(I, J) → a_1
  27. OrthogonalLine(E, w) → e_1
  28. Point(e_1) → K
  29. Segment(K, E) → f_1
  30. Mirror(K, g_1) → K'
  31. Mirror(E, g_1) → E'
  32. Segment(K', E') → h_1
  33. Point(f_1) → M
  34. Point(h_1) → N
  35. Segment(M, N) → j_1
  36. Point(h_1) → L
  37. Segment(B, L) → k_1
  38. Slope(k_1) → slope
  39. Point(l_1) → P
  40. Polygon(B, P, O) → poly3, o_1, b_3, p_1