ISE.2.6: Probability and Statistics

Course Outline

Random experiments

  1. Probability
    1. axioms of probability
    2. elementary probability results
    3. conditional probability
    4. the law of total probability
    5. Bayes theorem
  2. Systems reliability
  3. Discrete random variables
    1. Binomial distribution
    2. Poisson distribution
  4. Continuous random variables
    1. exponential distribution
    2. normal distribution
    3. uniform distribution
  5. Reliability; hazard rates

Recommended Texts



I shall hand out a full set of course notes, which will be supplemented with examples that I shall work through each week.


Full course notes

Revision Notes:

Assessed Coursework:


I shall make the worked class examples available here following the lectures that they appear in.

Worked Class Examples:

Problem Sheets:



Examination Formula sheets

Mathematics Formula sheet

Statistics Formula sheet


Past Examinations and Solutions

2005 Exam    2005 Solutions

2006 Exam    2006 Solutions

2007 Exam    2007 Solutions



Updated: October, 2009.