How to Master Probability Density Functions
TL;DR: When your random variable can take any value on a continuous range, you can’t list a probability for every single one. There are infinitely many. Instead you use a probability density function, or PDF, which assigns probability to ranges via the area under its curve. The function is never negative, and the total area […]
Decoding Discreteness: A Comprehensive Guide to the Probability Mass Function
TL;DR: Roll a fair die and each face has a 1-in-6 shot. A probability mass function, or PMF, is the spreadsheet behind that. It tells you the probability that a discrete random variable equals each possible value. Two rules keep it honest: every probability has to be zero or positive, and all of them have […]
