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Continuous Probability Density Functions

Continuous Probability Density Functions
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2016-02-19 03:50
FunctionCalculusIntegralProbability & Statistics
This example demonstrates how to graph continuous probability density functions and shows the integration process step by step. It uses commands like Integral, Segment, Sequence, and is suitable for IB Higher Level Mathematics.

GeoGebra Commands & Parameters

  1. Integral(f) → intf
  2. Integral(f, low, high) → Int1
  3. Segment(D, E) → b
  4. Segment(C, F) → c
  5. Sequence(f(low + (k * (high - low) / 40)), k, 0, 40) → list1
  6. Max(list1) → maxvalue
  7. Integral((x * f(x)), low, high) → mean
  8. Simplify(If[low ≤ x ≤ high, intf(x) - intf(0)]) → g
  9. Segment(I, H) → d
  10. Integral(((x - mean)^(2) * f(x)), low, high) → VAR
  11. Textfield(f) → InputBox1
  12. Textfield(low) → InputBox2
  13. Textfield(high) → InputBox3
  14. Integral(f, low, X) → CDF
  15. Integral(f) → gg
  16. Intersect(g, a, (0.8312354302988411, 0.500000000003446)) → G
  17. OrthogonalLine(G, xAxis) → e
  18. Intersect(xAxis, e) → J
  19. Segment(G, J) → h
  20. Midpoint(G, J) → K
  21. Simplify(g) → p