Module: Probability Space

The photo you see is of Andrey Kolmogorov. who fundamentally transformed probability theory (and many other areas). His academic career started as an editor of his school journal at the age of 5, where he noticed that the first \(n\) odd numbers sum to \(n^2\).

Dates: Sun, Aug 27 - Sat, Sep 2

Learning Outcomes

Setup of a probability space

Readings

Guide for the Text

Section 1.2

Setup and Axioms

Setup, Axioms

Experiential Learning

Countability and Uncountability*

Cantor’s Diagonalization Argument

Sets of real numbers with no length*

Does NOT mean zero length

Lectures

Setup of a Probability Space

Coin Tosses

Problems in class

Communication channels

Problems in class

Quicksort

Problems in class

Machine learning: classification

Problems in class

Assessments

Proabability Models

Quiz+Problems

Outcome(s) assessed: