Course - Probability MT22
An introduction to probability theory, starting from the axioms of a probability space and ending at the weak law of large numbers and Chebyshev’s inequality. A lot more than was covered in Stats at A-Level.
There were some really fun problem sheet questions in this course, like this one from Sheet 1: “Celia the centipede has 100 feet, 100 socks, and 100 shoes. How many orders can she choose from to put on her socks and shoes? (She must put a sock on foot $i$ before putting a shoe on foot $i$.)”.
I was still getting into the groove of taking notes at this point, so all the flashcards I wrote are under the Lectures section, organised by date rather than concept.
- Course Webpage
- Lecture Notes
- Some of the lectures from this course are available on YouTube.
- Other courses this term: [[Courses MT22]]^{U}
Notes
- [[Notes - Probability MT22, Chapter 1]]^{U}
- [[Notes - Probability MT22, Chapter 2]]^{U}
- [[Notes - Probability MT22, Distributions]]^{U}
- [[Notes - Probability MT22, Random sums theorem]]^{U}
- [[Notes - Probability MT22, Expectations]]^{U}
- [[Notes - Probability MT22, Axioms of probability space]]^{U}
- [[Notes - Probability MT22, Random variables]]^{U}
- [[Notes - Probability MT22, Misc]]^{U}
Lectures
- [[Lecture - Probability MT22, I]]^{U}
- [[Lecture - Probability MT22, II]]^{U}
- [[Lecture - Probability MT22, III]]^{U}
- [[Lecture - Probability MT22, IV]]^{U}
- [[Lecture - Probability MT22, V]]^{U}
- [[Lecture - Probability MT22, VI]]^{U}
- [[Lecture - Probability MT22, VII]]^{U}
- [[Lecture - Probability MT22, VIII]]^{U}
- [[Lecture - Probability MT22, IX]]^{U}
- [[Lecture - Probability MT22, X]]^{U}
- [[Lecture - Probability MT22, XI]]^{U}
- [[Lecture - Probability MT22, XII]]^{U}
- [[Lecture - Probability MT22, XIII]]^{U}
- [[Lecture - Probability MT22, XIV]]^{U}
- [[Lecture - Probability MT22, XV]]^{U}
- [[Lecture - Probability MT22, XVI]]^{U}
Problem Sheets
- Sheet 1, [[Problem Sheet - Probability MT22, I]]^{U}
- Sheet 2
- Sheet 3, [[Problem Sheet - Probability MT22, III]]^{U}
- Sheet 4
- Sheet 5
- Sheet 6
- Sheet 7
- Sheet 8