Introduction to probability theory and its applications. Axioms of probability, distributions, discrete and continuous random variables, conditional and joint distributions, correlation, limit laws, ...

Stochastic analysis is a fundamental topic in probability theory that is linked to various areas of mathematics (e.g. partial differential equations, mathematical physics, geometry) and has ...

Explain why probability is important to statistics and data science. See the relationship between conditional and independent events in a statistical experiment. Calculate the expectation and variance ...

The conjunction and disjunction fallacies are famous for revealing the limits of human reasoning about probability. This can be measured by telling people a short story about a character and then ...