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Hypergeometric Distribution

Hypergeometric Distribution
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2020-04-14 20:59
FunctionTrigonometryProbability & Statistics
This example demonstrates the calculation of hypergeometric distribution. Key mathematical concepts include hypergeometric distribution in probability and statistics. Construction highlights the use of `If`, `Intersect`, `Segment`, `Sequence`, and `Sort` commands. Suitable for high school probability and statistics courses.

GeoGebra Commands & Parameters

  1. If(c ≟ 3 ∨ c ≟ 5, (((a - d) / a)^(c - 1) * d / a), 0) → i
  2. If(c ≟ 4 ∨ c ≟ 6, (((a - d) / a)^(c - 1) * d / a), 0) → ii
  3. Intersect(xAxis, yAxis) → A
  4. Segment(A, B) → f
  5. Segment(A, C) → g
  6. Segment(D, E) → h
  7. Segment(D, F) → j
  8. Segment(G, H) → k
  9. Segment(G, I) → l
  10. Segment(J, K) → m
  11. Segment(J, L) → n
  12. Sequence(1, a) → l1
  13. Sort(Sample[l1, d, false]) → l2
  14. If(d ≟ 1, ("" * Element[l2, 1]), Element[l2, 1] + " or " + (Element[l2, 2])) → e

AI Drawing Prompt Reference

Draw a graph demonstrating the hypergeometric distribution, featuring two function curves: one for parameters c=3 or 5, and another for c=4 or 6, both ranging from 0 to a. Mark the intersection of the x and y axes, and draw four line segments from this point in different directions, connecting to four distinct points. Then, from these four points, draw four more line segments connecting to four other distinct points, forming a complex geometric structure.
The prompt above was compiled from the original drawing commands and is for reference only.