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Triangular Normal Probability Demo

Triangular Normal Probability Demo
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2016-02-25 13:28
FunctionCalculusProbability & StatisticsGeometric ConstructionGraphing
In collections Complex Math
This example demonstrates the relationships of quantities involved in the Normal Curve through a graphical representation. Key math concepts include Normal Distribution, Integral, Mean, and Standard Deviation. It is constructed using GeoGebra commands like Integral, Point, Polygon, Slope, Textfield, and Angle. Suitable for high school and above students to understand probability calculations and geometric interpretations of the Normal Distribution.

GeoGebra Commands & Parameters

  1. Integral(f_1, -Infinity, Infinity) → a
  2. Integral(g, -10, 10) → sd
  3. Point(d) → C
  4. Point(d) → D
  5. Polygon(C, B, D) → poly1, d_1, c, hyp
  6. Point(hyp) → E
  7. Polygon(C, F, E) → poly2, f, c_1, χhyp
  8. Point(z) → G
  9. Polygon(C, B, G) → poly3, g_1, Z, b_1
  10. Slope(hyp) → Deviation
  11. Point(h) → H
  12. Integral(h, -200, 200) → ΣS
  13. Textfield(σ_1) → inputBox1
  14. Textfield(A) → inputBox2
  15. Textfield(n) → inputBox3
  16. Integral(g, 0, 0.851) → p
  17. Integral(h(x) / σ_1, 0, 0.851) → prob
  18. Angle(C, D, B) → α
  19. Textfield(σ_1) → InputBox1