MathematicsCoreMTH-PROB-200

Random Variables & Distributions

discrete vs continuous, probability mass and density functions

Difficulty
3 / 5
Importance
5 / 5
Study time
4–7.5 h
Kind of work
Mixed

Why it matters

The mathematics of uncertainty; foundation for statistics, ML, finance, quantum mechanics and stochastic processes.

Where it is used

Risk assessment, A/B testing, machine learning models, financial derivatives, statistical mechanics, hiring decisions.

How you know you have learned it

Solve ≥10 representative problems with ≥80% adjusted accuracy.

Resources

  • An Introduction to Probability Theory (Vol 1) — William Feller Book
  • Introduction to Probability (Blitzstein & Hwang) — Blitzstein & Hwang Book
  • Introduction to Probability (Blitzstein & Hwang) — Blitzstein & Hwang Book

The route to this topic

Route MTH-PROB-200