Module 5:
Random variables, expected value and variance

Module 5

What this module is for

Both. Introduce useful expectation calculations early, before an extensive distribution catalogue.

Lesson 5.1 · Core

Random variables and discrete distributions

Depth: Working proficiency

QT/QR relevance: Both; representing outcomes numerically

Lesson 5.2 · Core

Expected value, payoff and profit

Depth: Interview mastery

QT/QR relevance: Both; comparing uncertain outcomes

Lesson 5.3 · Core

Linearity and the expected-value rule

Depth: Interview mastery

QT/QR relevance: Both; simplifying aggregate calculations

Lesson 5.4 · Core

Variance, standard deviation and moments

Depth: Working proficiency; variance identities at interview mastery

QT/QR relevance: Both; distinguishing mean outcome from dispersion

Lesson 5.5 · Core

Conditioning to calculate expectation

Depth: Interview mastery

QT/QR relevance: Both; breaking complicated games into simpler states

Assessment

Module 5 assessment

Open assessment · No submitted assessment yet