Course Description
Fundamentals of Probability course provides a formal and systematic introduction to probability and probabilistic models.
Course Objectives
The course will introduce the concepts of finite probability theory, continuous probability theory and random processes. Students are expected to gain an understanding and skills in problem solving related to sample spaces, random variables, expectations, transforms, Bernoulli and Poisson processes, finite Markov chains and limit theorems.
Key Concepts
- Probability Rules
- Conditional Probability
- Discrete Random Variable
- Continuous Random Variable
- Probability Distributions
- Joint Distributions
Learning Outcomes
- Compute probabilities by modeling sample spaces and applying rules of permutations and combinations, independency and conditional probability
- Construct the probability distribution of a discrete random variable
- Identify the random variable(s) of interest in a given scenario
- Find expected values and variances of both discrete and continuous random variables
- Demonstrate knowledge of joint probability distributions
Recommended Textbooks
D. Montgomery, G.Runger «Applied Statistics and Probability for Engineers»