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PDF/CDF of Two Random Variables by mistermoray

PDF/CDF of Two Random Variables by mistermoray
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2017-01-24 09:52
FunctionCalculusProbability & Statistics
This example demonstrates the graphical representation and calculation of the Probability Density Function (PDF) and Cumulative Distribution Function (CDF) of two random variables. Key math concepts include Probability & Statistics, function graphing, integration, and derivatives. GeoGebra commands like LowerSum for integral calculation and objects such as s, u, f, X, g, a, ba, baSTD, aa, aaSTD, etc., are used to construct the functions and display data. Suitable for high school and above students and teachers for probability and calculus instruction.

GeoGebra Commands & Parameters

  1. LowerSum(f, 0, X, 1000) → ba
  2. LowerSum(g, 0, X, 1000) → baSTD
  3. LowerSum(f, X, 100, 1000) → aa
  4. LowerSum(g, X, 100, 1000) → aaSTD
  5. LowerSum(f, Y, 100, 1000) → ab
  6. LowerSum(g, Y, 100, 1000) → abSTD
  7. LowerSum(f, 0, Y, 1000) → bb
  8. LowerSum(g, 0, Y, 1000) → bbSTD
  9. LowerSum(g_1, X, 100, 1000) → aaSTD_1
  10. LowerSum(g_2, 0, X, 1000) → baSTD_1
  11. LowerSum(f, X, Y, 1000) → betab
  12. LowerSum(g, X, Y, 1000) → betaABSTD