Part III — The Probability Core

Booklet: Abridged Math Foundations for Signals and Systems, Lessons 16–20 (PDF).

Probability models, conditioning, and Bayes’ rule; discrete and continuous random variables; expectation and variance; joint distributions and conditioning; the normal distribution.

17 exercises across Lessons 16–19 — 8 [Hand], 9 [Proof]. Lesson 20 is Capstone III (a project, no exercise block).

Exercises

Worked sets are linked below as they are completed.

• Lesson 16 — Probability Models, Conditioning, and Bayes’ Rule — 5 exercises (2 [Hand], 3 [Proof])
• Lesson 17 — Discrete Random Variables and Expectation — 4 exercises (2 [Hand], 2 [Proof])
• Lesson 18 — Multiple Random Variables and Conditioning — 4 exercises (2 [Hand], 2 [Proof])
• Lesson 19 — Continuous Random Variables and the Normal — 4 exercises (2 [Hand], 2 [Proof])
• Lesson 20 — Capstone III: A Naive Bayes Classifier from Scratch — project