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Medical Testing with Bayes Theorem

Medical Testing with Bayes Theorem
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2019-03-26 22:03
FunctionTrigonometryCoordinate GeometryProbability & StatisticsGeometric Construction
This example demonstrates the application of Bayes Theorem in medical testing through interactive graphics, visually illustrating the calculation of conditional probability. Key math concepts include conditional probability, probability theory, stochastic processes, and Bayes Theorem. GeoGebra commands and objects like Point, Intersect, Segment, Sequence, Midpoint, Vector, Polygon, Mod, LaTeX, and Centroid are used to construct the graphical and computational modules. Suitable for high school students, university students, and educators in mathematics, statistics, and medical fields for teaching and concept exploration.

GeoGebra Commands & Parameters

  1. Point(yAxis) → A
  2. Intersect(xAxis, yAxis) → B
  3. Point(xAxis) → C
  4. Segment(B, A) → f
  5. Segment(A, D) → g
  6. Segment(D, C) → h
  7. Segment(C, B) → i
  8. Sequence((a, 0), a, 0, 10, 0.1) → l1
  9. Sequence((0, a), a, 0, 10, 0.1) → l2
  10. Point(l1) → E
  11. Point(l2) → F
  12. Segment(H, E) → j
  13. Segment(F, I) → k
  14. Midpoint(B, E) → J
  15. Midpoint(E, C) → K
  16. Midpoint(B, F) → L
  17. Midpoint(F, A) → M
  18. Vector(N, L) → u
  19. Vector(O, J) → v
  20. Sequence((0, a), a, 0, 10, 0.1) → l2_1
  21. Sequence((a, 0), a, 0, 10, 0.1) → l1_1
  22. Vector(P, K) → w
  23. Vector(Q, M) → l
  24. Midpoint(D, I) → R
  25. Midpoint(I, C) → S
  26. Vector(T, R) → m
  27. Vector(U, S) → n
  28. Sequence((a, 0), a, 0, 10, 0.1) → l1_2
  29. Polygon(B, A, H, E) → q5, b_1, a_1, h_3, e_2
  30. Polygon(E, H, D, C) → q6, e_3, h_4, d_1, c_1
  31. Polygon(A, D, I, F) → q1, a, d, i_1, f_1
  32. Polygon(F, I, C, B) → q2, f_2, i_2, c, b
  33. Mod(step, 12) → sstep
  34. LaTeX(sstep, true, true) → text14
  35. Polygon(B, F, G, E) → q3, b_2, f_3, g_1, e
  36. Centroid(q3) → Z
  37. Vector(A_1, Z) → r
  38. Polygon(F, A, H, G) → q4, f_4, a_2, h_1, g_2
  39. Centroid(q4) → B_1
  40. Vector(C_1, B_1) → s
  41. Polygon(H, G, I, D) → q7, h_2, g_3, i_3, d_2
  42. Centroid(q7) → D_1
  43. Vector(E_1, D_1) → t
  44. Polygon(E, G, I, C) → q8, e_1, g_4, i_4, c_2
  45. Centroid(q8) → F_1
  46. Vector(G_1, F_1) → u_1

AI Drawing Prompt Reference

Draw a medical testing example using Bayes Theorem, including two vertical axes, key points A, B, C, D, E, F, G, H, I, J, K, L, M, N, O, P, Q, R, S, T, U, V, W, X, Y, Z, and polygons and triangles formed by these points, illustrating the application of Bayes Theorem in medical testing.
The prompt above was compiled from the original drawing commands and is for reference only.