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Negative Binomial - Geometric Distribution

Negative Binomial - Geometric Distribution
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2019-04-30 08:58
FunctionIntegralProbability & Statistics
In collections ΠΙΘΑΝΟΤΗΤΕΣ
This example illustrates the relationship between the negative binomial distribution and the geometric distribution. Key mathematical concepts include probability distributions, geometric distribution, and negative binomial distribution. Using GeoGebra commands such as nCr, Integral, and FractionText, the distributions are graphically constructed. Suitable for high school mathematics education and students learning probability and statistics.

GeoGebra Commands & Parameters

  1. nCr(k - 1, n - 1) → dn
  2. Integral(f) → g
  3. Integral(f, n, k) → a
  4. FractionText(pp) → ppk
  5. Sequence(((nCr[a - 1, n - 1] * p^(n)) * (1 - p)^(a - n)), a, n, k) → l1
  6. Sum(l1) → spp
  7. FractionText(spp) → sppk
  8. Pascal(n, p, k - n, c) → pas
  9. FractionText(p) → pk
  10. Pascal(n, p) → d
  11. Pascal(n, p, k - n, b) → pas2