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Independent Distributions 2

Independent Distributions 2
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2019-12-08 08:13
VectorFunctionCalculusProbability & StatisticsGraphing
This example demonstrates the distribution and joint distribution properties of two-dimensional independent random variables. It involves core mathematical concepts such as probability distributions, standard deviation, integral calculations, and multivariate function graphing. GeoGebra commands and objects like Integral, Textfield, Segment, Polygon, Vector, Slope, and Line are used in construction. Suitable for high school mathematics learners and beginners in statistics.

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
  24. Textfield(λ) → InputBox1
  25. Line(S, Q) → p_1
  26. Polygon(S, U, Q) → t1, q_1, s_1, u_2