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𝙎𝙄𝙂𝙉 𝙐𝙋 for tastefully infrequent updates about our upcoming Probability & Statistics course. 💌 https://snu.socratica.com/probability-statistics-course Coins, dice, and even random integers all have something in common: a set of distinct outcomes you can list. That’s the world of discrete random variables. Here we compare & contrast discrete and continuous random variables and learn the rules a discrete distribution must follow. We'll even see a surprising case where there are infinitely many outcomes but the distribution is still discrete! ▶️ 𝙒𝘼𝙏𝘾𝙃 𝙉𝙀𝙓𝙏: Normal Distributions https://youtu.be/xlxaa9YhT6A We'd like to send a special thank you to our VIP Patrons at Patreon! Our patrons are the ones who make it possible for us to take the time to research, write, record, and edit these videos. Their support also makes it possible for us to invest in computers and software powerful enough to do the editing! Tracy Karin Prell Umar Khan Thomas Myers Michael Shebanow Marcos Silveira M Andrews KW Kevin B John Krawiec John-Michael Lewis Jeremy Shimanek Eric Eccleston and Christopher Kemsley are our VIP Patrons! 𝙅𝙊𝙄𝙉 this channel to get access to small Youtube perks like an owl emoji when you leave comments, fancy! https://www.youtube.com/channel/UCW6TXMZ5Pq6yL6_k5NZ2e0Q/join Thank you, kind friends! 💜🦉 𝘽𝙚𝙘𝙤𝙢𝙚 𝙤𝙪𝙧 𝙋𝙖𝙩𝙧𝙤𝙣 𝙤𝙣 𝙋𝙖𝙩𝙧𝙚𝙤𝙣: https://www.patreon.com/socratica 📚 𝙒𝙚 𝙧𝙚𝙘𝙤𝙢𝙢𝙚𝙣𝙙 (affiliate links): The Drunkard's Walk: How Randomness Rules Our Lives by Leonard Mlodinow https://amzn.to/4j9n0YP The Art of Statistics: How to Learn from Data by David Spiegelhalter https://amzn.to/3S9E46a How to Be a Great Student (from Socratica!) ebook: https://amzn.to/2Lh3XSP paperback: https://amzn.to/3t5jeH3 🎬 𝘾𝙍𝙀𝘿𝙄𝙏𝙎: Written & Produced by: Michael Harrison & Kimberly Hatch Harrison Edited by: Alivia Brown and Megi Shuke Music License from Soundstripe Code: MSWKCNZ1WFQTCX2S 🎓 𝘼𝘽𝙊𝙐𝙏 𝙊𝙐𝙍 𝙄𝙉𝙎𝙏𝙍𝙐𝘾𝙏𝙊𝙍𝙎: Michael earned his BS in Math from Caltech, and did his graduate work in Math at UC Berkeley and University of Washington, specializing in Number Theory. A self-taught programmer, Michael taught both Math and Computer Programming at the college level. He applied this knowledge as a financial analyst (quant) and as a programmer at Google. Kimberly earned her BS in Biology and another BS in English at Caltech. She did her graduate work in Molecular Biology at Princeton, specializing in Immunology and Neurobiology. Kimberly spent 16+ years as a research scientist and a dozen years as a biology and chemistry instructor. Michael and Kimberly Harrison co-founded Socratica. Their mission? To create the education of the future. Ready to 🧠 𝙇𝙀𝘼𝙍𝙉 𝙈𝙊𝙍𝙀 with Socratica? 📺 𝙎𝙪𝙗𝙨𝙘𝙧𝙞𝙗𝙚 for SMART videos in Math, Science & Programming: http://bit.ly/SocraticaSubscribe ▶️ 𝙋𝙇𝘼𝙔𝙇𝙄𝙎𝙏𝙎: Study Tips http://bit.ly/StudyTipsPlaylist Python http://bit.ly/PythonSocratica Chemistry http://bit.ly/Chemistry_Playlist Calculus http://bit.ly/CalculusSocratica Geometry http://bit.ly/GeometrySocratica #probability #DiscreteDistributions #randomvariables