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Normal Distribution Problem

Normal Distribution Problem
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2016-10-27 23:10
FunctionSequenceProbability & Statistics
This example demonstrates a normal distribution probability problem. Key mathematical concepts include the normal distribution probability density function. Construction highlights include using GeoGebra commands Sequence, Element, If, Normal, etc., to create a normal distribution curve and calculate probabilities. Suitable for high school and above students learning probability and statistics.

GeoGebra Commands & Parameters

  1. Sequence(Mod[8 + (31 * k), 60] + 1, k, 1, 60) → OptSeq
  2. Element(OptSeq, Problem) → Opt
  3. Element(MeanSeq, Mod[Opt, 5] + 1) → Mn
  4. Element(StdDevSeq, Mod[Opt, 5] + 1) → StdDev
  5. Element(ZSeq, Mod[Opt, 6] + 1) → ZScr
  6. Element(DirSeq, Mod[Opt, 4] + 1) → Dir
  7. If(Mod[Opt, 5] > 2, "proportion", "probability") → PB
  8. Normal(Mn, StdDev, Val) → LeftProb
  9. Element(IneqSeq, Mod[Opt, 4] + 1) → Ineq
  10. If(Mod[Opt, 4] > 1, 1 - LeftProb, LeftProb) → Prob
  11. Element(AnsSeq, Mod[Opt, 4] + 1) → Ans
  12. Element(DesSeq, Mod[Opt, 5] + 1) → Des
  13. Element(QSeq, Mod[Opt, 5] + 1) → Ques