These two numbers are usually different. B=\{\text{a person takes a probability course}\}. The probability \(P(B\mid A)\) asks: among mathematics students, what proportion take a probability course?

Reading: Murphy, PML: An Introduction, §2.2.3–2.2.5, §2.3; §3.1–3.2 for the multivariate Gaussian. Builds on: Lecture 1 (probability spaces, random variables ...

This is a lecture which is covered during Elementary Statistics Module with students who just started to learn Statistics. The main objective of this chapter is to develop a sound understanding of ...

Conditional probability and Bayes' theorem are the foundational concepts for every aspect of hypothesis testing and estimation covered in the latter half of this course. At the same time, they are ...