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Moments of linear combinations of normally distributed variables

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So I have this problem I have to solve for my homework for my Linear Regression Class that is due tomorrow and I honestly dont know where to start with this problem.

“Suppose to have $Xsim N(0,1)$ $Y=3-2X$ and $Z=2-X$

Find $E(Y)$ $E(Z)$ $Var(Y)$ $Var(Z)$”

I think the fact that it is a normal distribution might have something to do with solving this but other than that I am confused…


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