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PDF/CDF of Two Random Variables

PDF/CDF of Two Random Variables
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2017-01-24 09:46
FunctionSequenceProbability & Statistics
This example demonstrates the probability density function (PDF) and cumulative distribution function (CDF) of two random variables. It involves core concepts in probability and statistics. Using GeoGebra commands like LowerSum, f, g, etc., the probability distribution of random variables can be constructed. Suitable for high school and above students to learn probability and statistics.

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

AI Drawing Prompt Reference

Plot the probability density function (PDF) and cumulative distribution function (CDF) for two random variables, including the PDF and CDF of functions f and g, respectively on the X and Y axes, using 1000 rectangles for approximation.
The prompt above was compiled from the original drawing commands and is for reference only.