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.

[@kevinwoods8756]

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

[@48_subhambanerjee22]

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

[@jacobfry46]

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!

[@ThomasAtlus]

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

[@muwongeevanspaul9166]

Whaaaaaaat.....u man,yo giiiiid 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.

[@mukisajoshua2026]

I really love your simple explanations

[@puetshyegliean1905]

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

[@whitneyandbrianna1838]

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[@tumul1474]

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[@emellyyeo3969]

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[@norhanmokhtarabdeldayem7076]

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[@pauljohncapote7541]

This really helps a lot.

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[@hypergiant03]

Tysm sir for this video, it was really helpful.

[@heshiming1982]

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?

[@JayRileyArgue]

Thanks

[@nelsonmoturi6177]

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[@easyintegration6036]

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[@suhailawm]

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[@learningmaths4476]

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

[@stanleywainaina2366]

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[@lamees1134]

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[@teamstudent4555]

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

[@turboyess5208]

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

[@acrobass544]

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

[@nathanjanus4579]

Continuous distributions aren't affected in regards to less than or equal or strictly less than. So (1, infinity) is fine

[@pianolessonswithbless879]

No cos 1.5 is greater than 1

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[@jonsnow3513]

thank you sir