Probability Notation Explained

Probability theory often confuses students. This is because the notation is often highly abbreviated and mathematically sloppy. In this video we discuss a few mathematical concepts underlying this notation, scrutinizing a common equation found in an introductory probability course.
Thanks for Russell Shannon and the rest of UCSB's Instructional Development team for the use of their Learning Glass!
To learn more, see Stanford's Sanjay Lall's excellent Engineering 207B course:
engr207b.stanford.edu/
More videos, projects, code, presentations, contact info: justinppearson.com
(c) 2015 Justin P. Pearson. All rights reserved.

[@jacobweaver6227]

Finally, someone with enough know-how to call out all the professors on their BS. They kill us for not using enough references but they constantly abbreviate beyond understanding and into complete ambiguity.

[@funskits]

Haha thank you! Happy to help.

[@ave14401]

Thank you so much for this. My probability class seems to think the homework is the best place to even introduce some of this notation. Feels like by the time I figure out what they're asking I could've already solved it. This is super helpful

[@Qongrat]

Thank you so much for this! Stats becomes quite simple, the only problem is understanding notation - this helps a lot.

[@nomercysar]

This is exactly what I was looking for. Thanks a lot for your effort!

[@ianwinters8935]

I'm doing a refresh of probability and stats, and the notations were killing me. Thank you for making this!

[@realworldprogramming1]

This video is so great! I find the statistical notation provided in my classes to often be confusing, and often it is just because it is shorthand for something else that is more meaningful. I would love if you know of any more resources explaining various shorthand in probability and statistics.
Also, I find the explanation you provide of random variables as functions to be very useful. One question I had was in regards to random variables in linear regression. The data points (X1, Y1), (X2, Y2), ... (XN, YN) are all composed of random variables. It seems confusing to think of these as functions. Instead, I have thought of random variables as "the output of a random process". I would love any clarification regarding this topic!

[@ailishigwedha2788]

Thanks for sharing this invaluable knowledge. Your explanation is very helpful.

[@maegodragon]

You summed up my Problem in the first instance!

[@cloudgalaxy9231]

Can we please have a new way of writing and learning probability? Cause I'm fairly confident that no one is learning this stuff from first principles or axioms, and instead is just practicing until their black box in their head gets an intuition.
We need to grow up, I think.
Thanks for your video. I thought I was going crazy.

[@manuelkarner8746]

wow, big thank you for this video
finaly i found a good explanation & answers to all my questions... & i already consumed a lot of "content" on this

[@KiranMantri]

awesoooome !! very very helpful ! thanks a lot !!

[@whyiszeldagreen]

Well done! Thank you!

[@brandonthompson9957]

Thank you, very helpful!

[@kamleshbarvalia]

Excellent!! .... thank you.

[@MatthiasKrijgsman]

Thank you, very helpful

[@ervinabajrami]

Thank you!!

[@jonathansmith2149]

The probability is not as hard as notation. Would it be possible to include advance notations also ?

[@medicinalvl-up862]

Great lecture!! Love it!
Btw you look like the cop from the netflix series "the Ozarks"

[@funskits]

Haha thank you! Is that Jason Bateman? So handsome!! ;)

[@medicinalvl-up862]

The cop is jason buttler, man you guys are twins ! Anyways, yours videos is helping me a lot with my biostatistic master, thank you soooo mucho!

[@funskits]

​@@medicinalvl-up862 Happy to help!!

[@jackjohnson7207]

Great, thoroughly informational video. Horrific marker squeaking in the beginning.

[@funskits]

Thanks! Yes, that was my first time using the Light Board and I was pushing the marker too hard! It's hard on the ears.

[@phoebeyang8861]

Thanks!

[@funskits]

You are most welcome! I hope it was helpful.

[@KiranMantri]

awesooooome !! thanks for this !

[@loukaewington-pitsos9331]

sick vid

[@chetanaik]

Are you writing these on a mirror, or have you learnt how to write mirrored and are using a transparent board?

[@funskits]

I'm writing on a "Learning Glass" -- just fluorescent dry-erase markers on edge-lit glass, and we left-right reverse the frame in post-production. More info: ua-cam.com/video/m_lGOYhtGEA/v-deo.html

[@frycomfort4002]

Have to say Doc the way you talk reminds me of Elon Musk and it is amazing!

[@funskits]

Thank you so much!! I really like the way Elon speaks -- precise, thoughtful, and metered.

[@srghma]

Fresh air

[@alexbierut1040]

the sounds of the marker makes this unwatchable.