E(aX+b)= aE(X)+b proof for X discrete part 1 of 2

The more proofs you see, the more comfortable you will be doing them! I talk you through a proof that the expectation of a constant “a“ times a random variable “X“ a constant “b“ is equal to “a“ times E(X) plus “b“ . It’s a basic result you should know. The proof E(aX bY)=aE(X) bE(Y) is done in the same way as in the video. Have a go, and if you really can’t do it let me know and I will do it on video :)