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.
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.