Borel Sets are NOT that Scary: Mathematical Definition of Continuous Random Variables

We explain the mathematical definition of continuous random variables as functions from a sample space to the real numbers, connecting it to the way we usually describe and manipulate continuous random variables (through their associated probabilities). Probability and statistics book: https://a.co/d/7k259eb Website with free preprint, videos, slides and solutions to exercises: https://www.ps4ds.net Slides for this video: https://github.com/cfgranda/ps4ds/blo...