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Independent Random Variable Probability Demo

Independent Random Variable Probability Demo
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2014-05-05 01:19
VectorFunctionCalculusProbability & StatisticsGeometric Construction
This example demonstrates the independence of random variable Sigma and shows how to derive probabilities of the Normal Curve using Sigma alone. Key math concepts include Standard Deviation, Variance, Normal Distribution, and Integral Calculus. GeoGebra commands used are Integral, Textfield, Segment, Polygon, Vector, and Slope. Suitable for high school and above students learning probability statistics and calculus applications in statistical distributions.

GeoGebra Commands & Parameters

  1. Integral(f, -Infinity, Infinity) → a
  2. Integral(g, -Infinity, Infinity) → b
  3. Integral(f, -Infinity, χ) → d
  4. Integral(g, -Infinity, κ) → h
  5. Textfield(σ) → inputBox1
  6. Integral(f, -10000, 1) → c
  7. Integral(g, -10000, 5.851) → j
  8. Segment(A, B) → e
  9. Polygon(C, D, E, F) → poly1, c_1, d_1, e_1, f_1
  10. Integral(f, -1000, χ) → i
  11. Integral(g, -1000, 5.851) → k
  12. Integral(f, 0, 1) → n
  13. Integral(g, 5, 5.851) → o
  14. Segment(G, H) → q
  15. Integral(f, -100, χ) → r
  16. Integral(g, -100, 5.851) → s
  17. Integral(f, -2000, 2000) → u
  18. Integral(g, -2000, 2000) → v
  19. Polygon(I, J, K, L) → poly2, i_1, j_1, k_1, l_1
  20. Vector(M, N) → u_1
  21. Vector(O, P) → v_1
  22. Slope(b_1) → m_1
  23. Textfield(λ) → inputBox2