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Binomial Distribution Simulation by Michael Borcherds

Binomial Distribution Simulation by Michael Borcherds
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2014-04-11 16:03
FunctionProbability & StatisticsSlider Animation
This example demonstrates the binomial distribution [math]B_{4,p}[/math] through simulated coin tossing experiments, covering core concepts like binomial distribution, probability, arithmetic mean, and optimization problems. It utilizes GeoGebra commands such as Sequence, Sum, Rotate, Translate, BinomialDist, Histogram, and Textfield for construction, making it suitable for high school and above in probability & statistics education.

GeoGebra Commands & Parameters

  1. Sequence(If[Random[0, 99] > (100 * p), -1, 1], j, 1, 4) → L
  2. Sequence(Element[L, j], j, 1, n - 1) → S
  3. Sum(S) → v
  4. Rotate(fig1, (-α), P) → fig1'
  5. Translate(fig1', t) → fig1''
  6. BinomialDist(4, p) → B4
  7. Histogram({-0.5, 0.5, 1.5, 2.5, 3.5, 4.5}, {n_{CCCC} / N, n_{CCCT} / N, n_{CCTT} / N, n_{CTTT} / N, n_{TTTT} / N}) → Bs
  8. Sum(L) → val
  9. Textfield(N) → campoInserimento1