Statistics for Maintenance Modelling: Basic Probability Concepts

# Summary¤

The main objectives of this session should be to re-familiarise yourself with some of the basic concepts of probability. Many of these concepts will be used later on in the course and a good understanding of them now will be of great benefit later on. You should know:

1. What a sample space is and what is meant by an event.
2. What the union, intersection and complements are of events.
3. How to use Venn diagrams to represent events.
4. What conditional/unconditional probability is and what the difference is between the two.
5. Whether two events are independent or dependent.
6. The concept of Bayes' Theorem.
7. What a random variable is - continuous or discrete?
8. What the probability mass function and the probability density functions are.
9. What the cumulative distribution function is.
10. Of the concepts of expectation and variance.
11. How to produce a histogram for a data set.