MTH4107 Introduction to Probability 2010/11

This page is maintained by Bill Jackson. It should contain all exercises sheets and handouts which have been given out. Suggestions on the content of this page are welcome.

Course Information

Module Questionnaire

Mid-term Test

End of Term Test


Exercise Sheets

Other Online Resources

Previous Exams

Course Information

Course Information This handout contains important information about the course.

A syllabus can be found on the official school page for the course here.

The list of key learning objectives describes the most important things you should learn from the course (it is NOT a substitute for the full syllabus).

Module Questionnaire

Thanks to those who took the time to fill in the module questionnaire. You can see a statistical summary here and read my responses to the main points made here

Mid-term Test

Information concerning the mid-term test, the revision class and my office hours for Reading Week can be found here

2010/11 mid-term test

2010/11 mid-term test solutions

2010/11 mid-term test feedback

2006/07 mid-term test

numerical solutions for 2006/7 mid-term test

2007/08 mid-term test

numerical solutions for 2007/08 mid-term test

2008/09 mid-term test

numerical solutions for 2008/9 mid-term test

2009/10 mid-term test

numerical solutions for 2009/10 mid-term test

End of Term Test

Information concerning the end of term test

2010-11 End-term Test

2010-11 End-term Test Solutions

2010/11 end-term test feedback

2009-10 End-term Test

2009-10 End-term Test Numerical Solutions


Your own lecture notes are the definitive guide to what is in the course. Anything lectured which is not explicitly described as non-examinable may appear in the test or exam. The notes which will appear below as the course progresses are a summary only of what was lectured. They are a modified version of notes given by Robert Johnson when he taught this module in 2008. They should be a useful guide to the most important concepts and results. However, they are do not contain all of the examples or explanation I gave in lectures. These are NOT a substitute for your own notes.

Week 1 (Sample Space and Events, Sets)

Week 2 (Sequences and Functions)

Week 3 (Probability, Proofs and Elementary Logic)

Week 4 (Sampling)

Week 5 (Independent Events, Conditional Probability)

Week 6 (Conditional probability)

Week 8 (Introduction to Random Variables, Discrete Random Variables)

Week 9 (Discrete Random Variables, Some Common Discrete Probability Distributions)

Week 10 (Joint Distributions of Discrete Random Variables)

Week 11 (Cumulative Distribution Functions, Continuous Random Variables)

Week 12 (Some Common Continuous Probability Distributions)

Exercise Sheets

Exercise Sheet 1

Exercise Sheet 1 Solutions

Exercise Sheet 2

Exercise Sheet 2 Solutions

Exercise Sheet 3

Exercise Sheet 3 Solutions

Exercise Sheet 4

Exercise Sheet 4 Solutions

Exercise Sheet 5

Exercise Sheet 5 Solutions

Exercise Sheet 6

Exercise Sheet 6 Solutions

Exercise Sheet 7

Exercise Sheet 7 Solutions

Exercise Sheet 8

Exercise Sheet 8 Solutions

Exercise Sheet 9

Exercise Sheet 9 Solutions

Exercise Sheet 10

Exercise Sheet 10 Solutions

Exercise Sheet 11

Exercise Sheet 11 Solutions

Other Online Resources

The first three links below are useful references for mathematical notation and terminology.

The phrase book (of basic words and symbols of higher mathematics)

Peter Cameron's list of mathematical notation

Some other terminology - Theorems, Lemmas etc.

The next link is to a free online textbook with lots of exercises.

Introduction to Probability, by Charles M. Grinstead and J. Laurie Snell

The next link is to Peter Cameron's detailed notes for a previous version of the course. Be warned that the material was slightly different and was covered in a slightly different way. The notation used is also different in some places.

Peter Cameron's notes on probability

Previous Exams

2006/07 main exam,

2007/08 main exam, numerical solutions

2008/09 main exam, numerical solutions

2009/10 main exam, numerical solutions