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Interactive 3D/Probability Distributions
Distribution
Parameters
μ (mean)0.00
σ (std dev)1.00
Statistics
Mean0.0000
Variance1.0000
Skewness0.000
Bell curve. Describes most natural phenomena. Mean ± 3σ captures 99.7% of data.
Indigo fill = PDF (density/mass).
Orange dashed = CDF (cumulative).
Green line = mean.

Probability Distributions - Interactive Visualization

Choosing the right probability distribution is fundamental to probabilistic modeling. Normal for continuous measurements, Binomial for counts of successes, Poisson for event rates, Exponential for waiting times, Beta for proportions, Gamma for positive skewed data. This explorer shows PDF and CDF for all six with live parameter sliders, revealing how shape changes with parameters.

  • Explore Normal, Binomial, Poisson, Exponential, Beta, Gamma distributions
  • Adjust parameters and watch PDF and CDF update live
  • See mean, variance, and skewness for each distribution
  • Understand which distribution to use for each ML scenario
  • Foundation for GLMs, Bayesian priors, and likelihood functions

Part of the EngineersOfAI Interactive 3D - free interactive visualizations covering every major concept in machine learning and AI engineering. Hover any element for a plain-English explanation. No code required.