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Probability and Statistics: Overview

This is the introductory overview video in a new series on Probability and Statistics! Probability and Statistics are cornerstones of modern data science and machine learning, and this short course will rapidly cover all of the basics and get into advanced topics. The course is roughly structured into four parts: Introduction to Probability (5 hours), Introduction to Statistics (5 hours), Advanced Probability (5 hours), and Advanced Statistics (5 hours). Special thanks to Dr. John Quintanilla from the University of North Texas for his inspiring lectures that first got me excited about Probability and Statistics! Thanks Dr. Q! This video was produced at the University of Washington, and we acknowledge funding support from the Boeing Company %%% CHAPTERS %%% 00:00 Intro 02:22 Applications of Probability 08:07 Divination and the History of Randomness and Complexity 10:30 Randomness and Uncertainty? 12:26 Defining Probability and Statistics 14:51 Outline of Topics: Introduction 16:36 Random Variables, Functions, and Distributions 22:30 Expected Value, Standard Deviation, and Variance 23:52 Central Limit Theorem 25:54 Preview of Statistics