Guides ยท Math
Probability Distributions Intuition Basics
See distributions as shapes and stories
This guide builds intuition for probability distributions: why normal, binomial, and exponential shapes appear, how to match distributions to processes, and what the shape says about typical vs rare outcomes.
- distributions
- normal
- binomial
- exponential
- probability
Match process to shape
Normal arises from many small effects; binomial from repeat trials; exponential from waiting times.
Read the shape
Peaks show common values; tails show rare events; skew indicates asymmetry.
Use parameters
Mean/variance or p/n/? set the shape; see how changes move or stretch the curve.
Simulate to learn
Quick simulations help see how assumptions change the distribution.