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Flipping n coins m times

Flipping n coins m times
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2014-12-02 03:08
FunctionTrigonometrySequenceCoordinate GeometryProbability & Statistics
This example demonstrates the probability distribution and statistical outcomes of flipping n coins m times. It involves core mathematical concepts such as Probability & Statistics, Stochastic Process, Binomial Distribution, Normal Distribution, Definite Integral, and Histograms. The construction utilizes GeoGebra commands/objects like Sequence, Histogram, Text, BinomialDist, and Normal. It is suitable for high school and above learners to understand key ideas in probability theory and statistics visually.

GeoGebra Commands & Parameters

  1. Sequence(i - 0.5, i, 0, n + 1) → lista1
  2. Histogram(lista1, lista2) → a
  3. Text("www", (20, 20)) → testo4
  4. BinomialDist(n, probability) → b
  5. Normal(μ, σ, x) → f
  6. Text("0", (0, 0.02)) → t0
  7. Text("1", (1, 0.02)) → t1
  8. Text("3", (2, 0.02)) → t2
  9. Text("10", (3, 0.02)) → t3
  10. Text("43", (4, 0.02)) → t4
  11. Text("104", (5, 0.02)) → t5
  12. Text("145", (6, 0.02)) → t6
  13. Text("157", (7, 0.02)) → t7
  14. Text("150", (8, 0.02)) → t8
  15. Text("112", (9, 0.02)) → t9
  16. Text("53", (10, 0.02)) → t10
  17. Text("16", (11, 0.02)) → t11
  18. Text("5", (12, 0.02)) → t12
  19. Text("1", (13, 0.02)) → t13
  20. Text("0", (14, 0.02)) → t14

AI Drawing Prompt Reference

Create a visual representation showing the probability distribution and statistical outcomes of flipping n coins m times, featuring a histogram displaying the frequency of different results, with text labels marking each result's value from 0 to 14, decreasing in frequency from high to low, resembling a binomial and normal distribution, suitable for teaching probability and statistics.
The prompt above was compiled from the original drawing commands and is for reference only.