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Tree Diagram & Poisson Distribution Demo

Tree Diagram & Poisson Distribution Demo
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2021-11-19 09:56
Probability & StatisticsGeometric ConstructionGraphing
This example demonstrates the application of tree diagrams in probability statistics, showcasing the calculation and visualization of the Poisson distribution. It involves core concepts like probability statistics, tree diagrams, standard deviation, and Poisson distribution. Construction uses commands/objects such as Textfield, Polygon, Segment, Angle, Circle, Point, If, Mirror, Intersect. Suitable for high school students and math enthusiasts for learning and practice in probability statistics.

GeoGebra Commands & Parameters

  1. Textfield(a) → InputBox1
  2. Textfield(b) → InputBox2
  3. Textfield(c) → InputBox3
  4. Textfield(d) → InputBox4
  5. Textfield(f) → InputBox5
  6. Textfield(g) → InputBox6
  7. Polygon(A, B, C) → t1, c_1, a_1, b_1
  8. Segment(C, B) → h
  9. Segment(B, A) → i
  10. Segment(A, C) → j
  11. Angle(C, B, A) → α
  12. Circle(D, (10 * a) + b) → e
  13. Point(e) → E
  14. Circle(E, c) → k
  15. Segment(D, E) → l
  16. If(Length[Mode[l1]] ≟ 0, "No digits repeat!", "Repeated digits exist.") → text4
  17. Mirror(E, l) → E'
  18. Mirror(D, l) → D'
  19. Mirror(E, l) → E'_{1}
  20. Mirror(D, l) → D'_{1}
  21. Circle(D, sqrt((100 * d) + (10 * f) + g)) → q
  22. Intersect(k, q, 2) → F
  23. Segment(D, F) → m
  24. Segment(F, E) → n
  25. Angle(F, E, D) → β
  26. Polygon(D, E, F) → t2, f_1, d_1, e_1

AI Drawing Prompt Reference

Draw a tree diagram and Poisson distribution example. First, create six input boxes for parameters a, b, c, d, f, and g. Then, draw a triangle ABC and its three sides and one angle. Next, draw a circle centered at D with radius 10a+b, and another circle centered at E with radius c. Use reflection and intersection commands to construct a series of points and segments, ultimately forming a triangle DEF to demonstrate Poisson distribution probability calculations.
The prompt above was compiled from the original drawing commands and is for reference only.