Probability II - Course Notes with Examples

The 4-year degree I am studying for is Bachelor of Science in Financial Mathematics. These notes were part of my 2nd-year module, Probability II.. The course vuilt on a previous probability module, exploring probability at an intermediate level. The course covered the topics: Joint Distributions, Independence, Conditional Distributions, Expectation,Variance, Covariance, Moment Generating Functions, Multivariate Distributions, Random Walks, Sequences of Random Variables & Central Limit Theorem. These notes are ideal for anyone studying at an intermediate level. The notes themselves are not a "copy and paste of the course content. Included in the notes are definitions & explanations of all terms in the course, theorems & proofs and are complete with examples of workings that you may see in exams with full solutions.