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Probability Distributions

Math Experiment Details

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📖 About This Experiment

Explore three fundamental probability distributions: Normal (bell curve), Binomial (success/failure trials), and Poisson (rare events). Visualize how changing parameters affects the shape and spread of these distributions.

💡 Key Concepts

  • •Mean (μ): Average or expected value
  • •Standard Deviation (σ): Measure of spread
  • •PDF/PMF: Probability density/mass function
  • •Central Limit Theorem: Sums approach normal distribution

🔢 Key Formulas

Normal Distribution
f(x) = (1/σ√2π) × e^(-½((x-μ)/σ)²)
Binomial Distribution
P(X=k) = C(n,k) × p^k × (1-p)^(n-k)
Poisson Distribution
P(X=k) = (λ^k × e^(-λ)) / k!
🚀 Launch Probability Distributions