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Normal Approximation to the Binomial Distribution by Tom Button

Normal Approximation to the Binomial Distribution by Tom Button
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2014-02-18 04:14
FunctionProbability & StatisticsSlider Animation
In collections How to (3): Commands, Spreadsheets and Statistics
This example demonstrates the normal approximation to the binomial distribution. Key mathematical concepts include the binomial and normal distributions. By adjusting parameters with sliders, you can observe the bar chart of the binomial distribution and the corresponding normal distribution curve. The GeoGebra commands used include Point, BinomialDist, BarChart, and Integral. Suitable for high school mathematics education and learning probability and statistics.

GeoGebra Commands & Parameters

  1. Point(xAxis) → B
  2. Point(xAxis) → A
  3. BinomialDist(n, p) → fullbin
  4. BarChart(a - 0.5, b + 0.5, Sequence[((Binomial[n, r] * p^(r)) * (1 - p)^(n - r)), r, a, b]) → binomial
  5. Point(xAxis) → C
  6. Point(xAxis) → D
  7. Integral(f, c, d) → normal

AI Drawing Prompt Reference

Create a visualization showing the normal approximation to the binomial distribution, featuring a bar chart for the binomial distribution and a corresponding normal distribution curve. Include sliders to adjust parameters and observe how the bar chart and curve change with parameter values. The graph should have two points on the horizontal axis to assist in drawing the normal curve and bar chart.
The prompt above was compiled from the original drawing commands and is for reference only.