PMF of a Function of a Random Variable

MIT 6.041SC Probabilistic Systems Analysis and Applied Probability, Fall 2013
Instructor: Katie Szeto

License: Creative Commons BY-NC-SA

[barnabaskim]

My professor should be paying you for these videos.

[paesanng]

You're very good at explaining things. Thank you very much.

[rationalthinker]

Thank God for this video. My professor is beyond incompetent at explaining this topic and my textbook glosses over it without showing the underlying principle. I should have went to MIT for my EE degree.

[geraldbamundaga]

Excellent explanation. Your explanation for function of a random variable is the best one I have seen so far. Your students are blessed to have. Please post more probability Videos because probability is not very well explained by a lot of professors making concepts in probability theory even more confusing. Thanks once again. God bless. you.

[Itsdg]

This makes way more sense, i just learned more watching this video than i have the entire semester in my statistics class.... Thanks

[maheshwarbanuk]

Finally, I found the tutorial and teacher I was searching for! great explanation!!

[WateryIce]

Thanks! Gosh - I wish my professor liked to use small, straightforward examples instead of using the most abstract and general form possible. It's strange that application can teach theory, but not always the same way around.

[celiusstingher]

Great video although I believed you lacked the final and most important thing, how is Pz(K) written? Pz(K) = 2k/28 for values 1, 4 and 9.

[caribbeankpoplover]

This was explained very clearly! Thank you ❤️

[harpreetrajsingh]

Loved the easy explanation keep up the good work 😊

[leonardopetribu]

Very intuitive class! Congratulations and thank you very much!

[tag_of_frank]

Is there a better way to calculate this, such as plugging z into the pmf of x, or something similar?

[capoman]

9:00 Hey shouldn't z take on values of { (-3/28)^2, (-2/28)^2... } ???

[Badana_z]

This was super helpful! Thank you so much!

[AhmedAlbadwi]

So nice and simple to understand ..thanks

[Josefk]

Awesome explanation. Perfect. Thank you!!

[reardelt]

So what is the mapping from the sample space?  I thought the professor said the random variable, for example in this case X, maps "stuff" from the sample space to the real number line of x. 

[johndomenech]

excellent, Katie.  very understandable.

[yousify]

nice explaining and very good example ..

[kaankutlu]

how to find sum of two dependent random variable pmf