** **

**ISE.2.6: Probability and
Statistics **

**Course Outline **

Random experiments

- Probability
- axioms of probability
- elementary probability results
- conditional probability
- the law of total probability
- Bayes theorem

- Systems reliability
- Discrete random variables
- Binomial distribution
- Poisson distribution

- Continuous random variables
- exponential distribution
- normal distribution
- uniform distribution

- Reliability; hazard rates

### Recommended Texts

- William Mendenhall and Terry Sincich,
`Statistics for the engineering and
computer sciences`, second edition, Dellen
Publishing Company.

- Alfredo Ang and Wilson
Tang,
`Probability concepts in
engineering planning and design`, Wiley.

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

### 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:**

**Solutions:**

**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.`` `