Single Maths B:

Overview

The final part of the Single Maths B module will focus on probability, the mathematics of uncertainty. We will cover events and state spaces, conditional probability, random variables, expectation and variance, and several common probability distributions.

Resources

• Lecture Notes: Part 1/2 -- Notes covering material from week 20: probability, conditional probability, random variables, expectation and variance.
• Problem Sheet
• Solutions to problems 1-25
• Lecture Notes: Part 2/2 -- Notes covering material from week 21: binomial distribution, poisson distribution, Normal distribution.
• Solutions to problems 26-35
• Summaries of each lecture
• Standard Normal probability table

Other Information

• Course text - there isn't an official text for this portion of the course. Most introductory texts on probability will cover the key areas.

  The Schaum outline book S. Lipschutz, Probability provides lots of examples on fundamental concepts. Alternative, but more advanced treatments include is W. Feller, Introduction to Probability Theory and its Applications, Vol. I, and chapters 1-5 of DeGroot and Schervisch Probability and Statistics which goes on to develop the statistical concepts in more depth.