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Joint Probability Function Demo

Joint Probability Function Demo
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2017-06-06 00:36
FunctionCalculusIntegralProbability & StatisticsGeometric Construction
This example demonstrates the graphical representation and computation of a 2D joint probability distribution. It involves core math concepts like joint probability density functions in probability theory, integral calculus, exponential functions, plane figures, and similar triangles. GeoGebra commands such as Simplify, Integral, Textfield, Intersect, Polygon, and Segment are used for function plotting, area calculation, and interactive visualization. Suitable for high school and above students, particularly in probability & statistics education.

GeoGebra Commands & Parameters

  1. Simplify(Integral[f, y]) → fintysimplify
  2. Integral(f, y) → finty
  3. Simplify(gvalue) → g
  4. Integral(g, xlower, xupper) → totalintegralyx
  5. Textfield(f) → inputBox2
  6. Textfield(upper) → inputBox3
  7. Textfield(lower) → inputBox4
  8. Textfield(xlower) → inputBox5
  9. Textfield(xupper) → inputBox6
  10. Integral(f, x) → fintx
  11. Simplify(Integral[f, x]) → fintxsimplify
  12. Simplify(f) → fsimplify
  13. Simplify(hvalue) → h
  14. Integral(h, y) → hinty
  15. Simplify(hintyvalue) → hintytot
  16. Intersect(upper, i, 1) → A
  17. Intersect(upper, j, 1) → B
  18. Intersect(lower, j, 1) → C
  19. Intersect(lower, i, 1) → D
  20. Polygon(A, D, C, B) → poly1, a_1, d, c, b_1
  21. Segment(E, F) → segment
  22. Integral(h, x) → hintx
  23. Simplify(Integral[g, x]) → gintx
  24. Simplify(gintxvalue) → gintxtot