Lesson 14: Properties of Expectation and Variance

Expectation and Variance of aX + b where a and be are constants, and X is a random variable with finite mean and variance. A derivation of the formulas is provided with an illustrative example.

[_subhambanerjee]

love from india.. this video is very useful for preparing for my sem. exams

[jacobfry]

I've been using the Coaching Actuaries site, and they didn't explain why the Var(kX) = k^2 * Var(X). Very helpful, thank you!

[kevinwoods]

You are a really great lecturer. Thank you for posting these videos.

[puetshyegliean]

i hate statistics because of my teacher.. but you are good... my teacher always insulting me.. she don't know to teach..thank you mr..

[ThomasAtlus]

God damn it I can't believe it took me so long to understand this. Thank you!!!

[muwongeevanspaul]

man, yo so good.... Very understandable proof of variance. To be honest I have enjoyed the video, am gonna like, subscribe and share in a second from now. Thanks so much. What a video.

[norhanmokhtarabdeldayem]

Can you make more actuarial related topics please?! your videos are so helpful !

[mukisajoshua]

I really love your simple explanations

[ChernobylPizza]

I spent a long time figuring out a problem that your video explains. I should have just watched this video first!

[heshiming]

At 12:45, the calculation of E(x^2), how come it's the integral of x^2 * 3/x^4 dx, and not x^2 * 3/x^8 dx?

[tambuingoc]

Character In the video It's great, I like it a lot $$

[learningmaths]

Does E(aX+b) = aE(X)+b for independent and non independent?

[hypergiant]

Tysm sir for this video, it was really helpful.

[acrobass]

Shouldn't the boundaries of the integral be from 2 to infinity since the it's strictly greater than 1

[teamstudent]

First calculate mean/variance of base variable and then apply the arithmetic

[turboyess]

Lmfao watching this lecture instead of my professor's lecture because he's absolute crap

[vanvuongdo]

Character In the video It's great, I like it a lot $$