Prove: Variance Shortcut Method for Discrete Random Variable

Let's prove that Var(X) = E(X^2) - [E(x)]^2 using the properties of E(X), which is a summation! We also review the definition of variance for discrete random variable and evaluate variance of a simple set using the definition method and the shortcut method we prove in the video.

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[paigecarlson]

This proof is perfect! The shortcut is no longer mysterious to me. Thanks.

[kikia]

thank you explained var(x) proof in less than a minute and it is so clear. Thank you I have a test tomorrow and this really helped

[FrancoMeng]

Thanks solved my headache ! Very clear !

[dhruvkumarthakur]

Oof bud thanks for this simple / efficient explanation, it will probably help me in exam tomorrow for sure :)

[nayanjha]

Great explanation !! It is quite intutive !

[rhinchoi]

Thank u! U r so much better than ma professor

[civiljr]

Thanks sir your explanation is very nice, sir can you make dies based on sums shortcuts