Probability and Statistics

Full course description

This course is a first introduction to probability and statistics. We will start by learning how to count and define a notion of probability. We will then move on to the concept of conditional probability, random variables and their distributions, expectation, continuous random variables, moments, joint distributions, and inequalities and limit theorems. This will provide us with the necessary language to study central topics of importance in statistics, such as the difference between a population and a sample, confidence intervals, parameter estimation, and hypothesis testing.