What are Continuous Random Variables? โ†’ Probability & Statistics

Socratica ยท Advanced ยท๐Ÿ”ข Mathematical Foundations ยท3mo ago

About this lesson

๐™Ž๐™„๐™‚๐™‰ ๐™๐™‹ for tastefully infrequent updates about our upcoming Probability & Statistics course. ๐Ÿ’Œ https://snu.socratica.com/probability-statistics-course How do you calculate probabilities for a random variable with infinitely many outcomes? Your instinct may be to reuse what you learned when modeling coin flips and dice rolls. But transitioning from the finite to the infinite requires a shift in thinking. The math of discrete random variables and continuous random variables are fundamentally different. Today, let's explore the infinite world of continuous random variables. 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! ๐™…๐™Š๐™„๐™‰ 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! ๐Ÿ’œ๐Ÿฆ‰ ๐˜ฝ๐™š๐™˜๐™ค๐™ข๐™š ๐™ค๐™ช๐™ง ๐™‹๐™–๐™ฉ๐™ง๐™ค๐™ฃ ๐™ค๐™ฃ ๐™‹๐™–๐™ฉ๐™ง๐™š๐™ค๐™ฃ: https://www.patreon.com/socratica ๐Ÿ“š ๐™’๐™š ๐™ง๐™š๐™˜๐™ค๐™ข๐™ข๐™š๐™ฃ๐™™ (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 ๐ŸŽฌ ๐˜พ๐™๐™€๐˜ฟ๐™„๐™๐™Ž: Written & Produced by: Michael Harrison & Kimberly Hatch Harrison Edited by: Alivia Brown Music License from Soundstripe Code: VRTYMRUDPDTE6VTT ๐ŸŽ“ ๐˜ผ๐˜ฝ๐™Š๐™๐™ ๐™Š๐™๐™ ๐™„๐™‰๐™Ž๐™๐™๐™๐˜พ๐™๐™Š๐™๐™Ž: Michael earned his BS in Math from Caltech, and di

Original Description

๐™Ž๐™„๐™‚๐™‰ ๐™๐™‹ for tastefully infrequent updates about our upcoming Probability & Statistics course. ๐Ÿ’Œ https://snu.socratica.com/probability-statistics-course How do you calculate probabilities for a random variable with infinitely many outcomes? Your instinct may be to reuse what you learned when modeling coin flips and dice rolls. But transitioning from the finite to the infinite requires a shift in thinking. The math of discrete random variables and continuous random variables are fundamentally different. Today, let's explore the infinite world of continuous random variables. 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! ๐™…๐™Š๐™„๐™‰ 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! ๐Ÿ’œ๐Ÿฆ‰ ๐˜ฝ๐™š๐™˜๐™ค๐™ข๐™š ๐™ค๐™ช๐™ง ๐™‹๐™–๐™ฉ๐™ง๐™ค๐™ฃ ๐™ค๐™ฃ ๐™‹๐™–๐™ฉ๐™ง๐™š๐™ค๐™ฃ: https://www.patreon.com/socratica ๐Ÿ“š ๐™’๐™š ๐™ง๐™š๐™˜๐™ค๐™ข๐™ข๐™š๐™ฃ๐™™ (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 ๐ŸŽฌ ๐˜พ๐™๐™€๐˜ฟ๐™„๐™๐™Ž: Written & Produced by: Michael Harrison & Kimberly Hatch Harrison Edited by: Alivia Brown Music License from Soundstripe Code: VRTYMRUDPDTE6VTT ๐ŸŽ“ ๐˜ผ๐˜ฝ๐™Š๐™๐™ ๐™Š๐™๐™ ๐™„๐™‰๐™Ž๐™๐™๐™๐˜พ๐™๐™Š๐™๐™Ž: Michael earned his BS in Math from Caltech, and di
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