Uniform Distribution Density Function Demo
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This example demonstrates the graph of the uniform distribution density function and its cumulative distribution function over the interval [a,b]. Key math concepts include probability density function, cumulative distribution function, and interval definition. GeoGebra commands used: a (lower bound), b (upper bound), f (density function), F (cumulative function), texte1 (text annotation), texte2 (text annotation). Suitable for high school students learning probability and statistics to visually understand the properties of the uniform distribution.
GeoGebra Commands & Parameters
Numeric a(0.0)Numeric b(2.0)f(x) = If[a ≤ x ≤ b, 1 / (b - a),0]F(x) = If[x < a, 0,If[a ≤ x ≤ b, (x - a) / (b - a),1]]
AI Drawing Prompt Reference
Draw the probability density function and cumulative distribution function of a uniform distribution over the interval [0,2], where the density function is 1/(b-a) within the interval and 0 outside. The cumulative distribution function starts at 0 at a, ends at 1 at b, and increases linearly within the interval. Include labels for the values of a and b, and the names of the two functions.
The prompt above was compiled from the original drawing commands and is for reference only.