Course homepage: https://computationalthinking.mit.edu/Spring21/ Contents 00:00 Introduction 02:33 Concepts for today 03:57 Random variables as types 04:15 Random variables 04:39 Gaussian distributions 08:43 Sum of two Gaussians 12:22 Theoretical random variables vs. sampling 14:09 Why define a type at all? 14:30 Defining abstract types for random variables 16:45 Defining a type for a Gaussian random variable 22:00 Sum of two Gaussian random variables 24:18 Probability distribution of a Gaussian 25:54 Sampling from a Gaussian distribution 26:40 More general distributions 28:55 Adding two random variables 37:45 Generic programming: sum 43:35 χ₁² distribution 48:15 Using symbolics S/O to https://github.com/r2cp for the video timestamps! Want to help add timestamps to our YouTube videos to help with discoverability? Find out more here: https://github.com/JuliaCommunity/YouTubeVideoTimestamps Interested in improving the auto generated captions? Get involved here: https://github.com/JuliaCommunity/YouTubeVideoSubtitles