Normal Approximation to the Binomial Distribution

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2020-12-20 03:24

Function Probability & Statistics Slider Animation

This example demonstrates how to adjust parameters using sliders to observe the relationship between the binomial and normal distributions. Key concepts include binomial and normal distributions. Commands used include Point, BinomialDist, BarChart, and Integral. Suitable for high school mathematics education and learning probability statistics.

GeoGebra Commands & Parameters

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

AI Drawing Prompt Reference

Draw a graph demonstrating the relationship between binomial and normal distributions, including two points on the horizontal axis, a bar chart for the binomial distribution, and an integral area for the normal distribution, observing the relationship by adjusting parameters, constructed in the order of drawing points on the horizontal axis, then the bar chart for the binomial distribution, and finally the integral area for the normal distribution.

The prompt above was compiled from the original drawing commands and is for reference only.