Distributions
A small set of distributions appears again and again. Knowing their parameters, moments and defining properties lets you recognize them instantly.
Lessons · recommended order
- 1Bernoulli & BinomialA single coin flip and the count of successes across independent trials.Foundations7 min
- 2Geometric & Negative BinomialThe number of trials until the first success, and its generalization to the $r$-th success.Foundations8 min
- 3PoissonThe distribution of counts of rare, independent events occurring at a constant average rate.Intermediate8 min
- 4ExponentialThe continuous, memoryless distribution of waiting times between events in a Poisson process.Intermediate8 min
- 5UniformConstant density over an interval, the natural model for equally likely continuous outcomes.Foundations6 min
- 6NormalThe bell curve that emerges from sums of many independent effects, central to approximation and finance.Intermediate9 min