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Binomial Distribution & Expected Value

by Anonymous

Move the probability bars to see expected value as the balance point, then change n and p to reshape the binomial distribution.

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About this app

An interactive learning app for exploring the binomial distribution, expected value, and standard deviation. Adjust probability weights to balance a seesaw at E(X), then change the number of trials n and success probability p to see how the binomial bars shift, become symmetric, or spread out. Guided missions provide practice with expectation, variance, the mode, and the relationship between binomial and normal distributions.

Use cases

  • High school students studying probability and statistics
  • Teachers demonstrating expected value with a visual model
  • Learners exploring how n and p change a binomial distribution
  • Practice with binomial mean, variance, and standard deviation

Features

  • Interactive seesaw showing expected value as the balance point
  • Adjustable probability weights for five possible values
  • Binomial distribution chart controlled by n and p
  • Standard deviation view with mean, Β±1Οƒ range, and normal approximation
  • Guided missions with reset and next-step controls