The way I went about this problem is I set Y=X-N and substituted all over the place
So if expanding on the last entry I got
E[Y] + (E[X(X-N)]-E[X]E[X-N])/(Var(x)) * (X-E[X])
After some rearranging
E[Y] +(E[X^2]-E[XN]+E[X]^2+E[X]E[N])/(E[X^2]+E[X]^2]) * (X-E[X])
Indep.
E[Y] + (E[X^2]-E[X]^2)/(E[X^2]-E[X]^2) * (X-E[X])
E[Y] + (X-E[X])
Thats what i got so far you sould be able to plug in values assuming this is right..theres an example like in class btw. Maybe someone could check?
Do you use law of iterated expectation here?
