ESTR2018 Probability for Engineers

What is this course about?

This course is an introduction to probability for engineering students. The course covers the following topics:

1. Probability and Counting
2. Axioms of Probability. Conditional Probabilities
3. Conditional Probability and Independence
4. Random Variables
5. Expectation, Variance, Joint PMFs
6. Conditional PMFs and Independent Random Variables
7. Continuous Random Variables
8. Multiple Continuous Random Variables
9. Continuous Bayes’ rule, Derived Random Variables
10. Correlation and Large Deviations
11. Chebyshev’s Inequality and The Central Limit Theorem

What is probability?

Probability is the likelihood of an event occurring. It is a measure of the likelihood that a given event will occur. Probability is a branch of mathematics that deals with the study of random events. It is used to predict the likelihood of future events and to analyze the past. Probability is used in a wide range of fields, including science, engineering, business, and social sciences.