Course Material

Practical demonstration

Probability as a “long-run” proportion: Tossing a coin (R markdown code)
Using the combinat package in R: Counting with R (R markdown code)
Conditional probability example: False positive rates (R markdown code)
Example of a CDF: Probability distribution and CDF (R markdown code)
Propositions C and D: using R
Joint distribution: Discrete and Continuous
Approximation methods: Computing expectation and variance of a transformation
Convergence in Probability: Visualisation, WLLN, and application
Convergence in Distribution: Visualisation and CLT
Estimation: Estimators and their properties

Online notes

Common Discrete Distributions: HTML version    PDF version
Common Continuous Distributions: HTML version    PDF version
Named Bivariate Distributions: HTML version    PDF version