Probability Distributions Clearly Explained Visually (PMF, PDF and CDF)

A visual lesson about probability distributions for random variables. I cover the probability mass, probability density, and cumulative distribution functions for discrete and continuous random variables.

00:00 Video Overview
0:31 Random Variable Definition
1:02 Probability Mass Function (PMF - Discrete Random Variable)
2:04 Cumulative Distribution Function (CDF - Discrete)
4:32 Continuous Random Variable, Probability Density Function and CDF
9:00 Cumulative Distribution Function and Probability of Events
12:04 Conclusions

#probability #randomvariables #probabilitydistribution #data

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Hello, and welcome to RiskByNumbers!

I am a professor sharing educational resources around probability, statistics, optimization methods, algorithms, and programming to a broad audience.

Outside of Youtube, you can currently find me in Vancouver, Canada at the University of British Columbia.

Thank you, and I look forward to seeing you in future videos!

[youngzproduction]

I randomly watched your channel, but it turned out to be a happy incident. Great explanation in many topics. Thanks for your effort.

[hishamward]

I would like really to thank you for this tremendous explanation and the great soundtrack you use

[zorzem]

thank you it was explained really well

[pacukluka]

Thank you this is very useful and id love you to make more videos about probability & statistics, maybe even linear regression, SVM and other inference / fitting algorithms

[yashS]

your explaination is really well, i am learning maths just for building logical and rational approach nd thinking and wanted to understand maths concepts, but reading books didn't quite effective as it is to visualize it and here your demonstrations are so good i understood it with an ez, Keep making it and putting playlist one after another cause you are at this .

[korigamik]

This is cool, can you tell us what you used to create the video animations? Can you share the source code?

[venil]

Not a criticism, but curious why you pronounce "cumulative" so unclearly that it sounds almost like "killer". I actually had to turn on subtitles to double check what you were saying.