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Density Curve Area Explorer

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About This MicroSim

Explore how the area under a density curve represents probability.

How to Use

  • Drag the vertical boundary lines to change the shaded region
  • Select different curve types: Normal, Uniform, Right-skewed
  • Toggle Show Full Area = 1 to see that the total area always equals 1

Key Insights

  • The area under a density curve between two values represents the proportion/probability
  • The total area under any density curve equals exactly 1 (100%)
  • Different curve shapes have different area distributions

Lesson Plan

Learning Objective

Students will understand that area under a density curve represents probability by shading regions and observing the corresponding proportions (Bloom's Taxonomy: Understanding).