Uploaded April 2026 | Updated September 2026, 2 weeks ago
๐๐๐๐ ๐๐ for tastefully infrequent updates about our upcoming Probability & Statistics course.
๐ 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!
๐ ๐๐๐ this channel to get access to small Youtube perks like an owl emoji when you leave comments, fancy!
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Thank you, kind friends! ๐๐ฆ
๐ฝ๐๐๐ค๐ข๐ ๐ค๐ช๐ง ๐๐๐ฉ๐ง๐ค๐ฃ ๐ค๐ฃ ๐๐๐ฉ๐ง๐๐ค๐ฃ:
patreon.com/socratica
๐ ๐๐ ๐ง๐๐๐ค๐ข๐ข๐๐ฃ๐ (affiliate links):
The Drunkard's Walk: How Randomness Rules Our Lives by Leonard Mlodinow
amzn.to/4j9n0YP
The Art of Statistics: How to Learn from Data by David Spiegelhalter
amzn.to/3S9E46a
How to Be a Great Student (from Socratica!)
ebook: amzn.to/2Lh3XSP
paperback: amzn.to/3t5jeH3
๐ฌ ๐พ๐๐๐ฟ๐๐๐:
Written & Produced by: Michael Harrison & Kimberly Hatch Harrison
Edited by: Alivia Brown
Music License from Soundstripe
Code: VRTYMRUDPDTE6VTT
๐ ๐ผ๐ฝ๐๐๐ ๐๐๐ ๐๐๐๐๐๐๐พ๐๐๐๐:
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 ๐ง ๐๐๐ผ๐๐ ๐๐๐๐ with Socratica?
๐บ ๐๐ช๐๐จ๐๐ง๐๐๐ for SMART videos in Math, Science & Programming:
bit.ly/SocraticaSubscribe
โถ๏ธ ๐๐๐ผ๐๐๐๐๐๐:
Study Tips bit.ly/StudyTipsPlaylist
Python bit.ly/PythonSocratica
Chemistry bit.ly/Chemistry_Playlist
Calculus bit.ly/CalculusSocratica
Geometry bit.ly/GeometrySocratica
#probability #discretedistributions #randomvariables
๐๐๐๐ ๐๐ for tastefully infrequent updates about our upcoming Probability & Statistics course.
๐ 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!
๐ ๐๐๐ this channel to get access to small Youtube perks like an owl emoji when you leave comments, fancy!
youtube.com/channel/UCW6TXMZ5Pq6yL6_k5NZ2e0Q/join
Thank you, kind friends! ๐๐ฆ
๐ฝ๐๐๐ค๐ข๐ ๐ค๐ช๐ง ๐๐๐ฉ๐ง๐ค๐ฃ ๐ค๐ฃ ๐๐๐ฉ๐ง๐๐ค๐ฃ:
patreon.com/socratica
๐ ๐๐ ๐ง๐๐๐ค๐ข๐ข๐๐ฃ๐ (affiliate links):
The Drunkard's Walk: How Randomness Rules Our Lives by Leonard Mlodinow
amzn.to/4j9n0YP
The Art of Statistics: How to Learn from Data by David Spiegelhalter
amzn.to/3S9E46a
How to Be a Great Student (from Socratica!)
ebook: amzn.to/2Lh3XSP
paperback: amzn.to/3t5jeH3
๐ฌ ๐พ๐๐๐ฟ๐๐๐:
Written & Produced by: Michael Harrison & Kimberly Hatch Harrison
Edited by: Alivia Brown
Music License from Soundstripe
Code: VRTYMRUDPDTE6VTT
๐ ๐ผ๐ฝ๐๐๐ ๐๐๐ ๐๐๐๐๐๐๐พ๐๐๐๐:
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 ๐ง ๐๐๐ผ๐๐ ๐๐๐๐ with Socratica?
๐บ ๐๐ช๐๐จ๐๐ง๐๐๐ for SMART videos in Math, Science & Programming:
bit.ly/SocraticaSubscribe
โถ๏ธ ๐๐๐ผ๐๐๐๐๐๐:
Study Tips bit.ly/StudyTipsPlaylist
Python bit.ly/PythonSocratica
Chemistry bit.ly/Chemistry_Playlist
Calculus bit.ly/CalculusSocratica
Geometry bit.ly/GeometrySocratica
#probability #discretedistributions #randomvariables
