1. Assume Y=1+X+u, where X, Y, and u=v+Xare r.v.S, v is independent ofX; E(v)=0, Var(v)=1, ECX) 1, and Var(X) 2 1) Calculate E(uX=1), E(Y]X=1), E(u|X=2), E(Y]X=2}, E(uX), ECY]X), E(u) and E(Y) 2)...

Part 1 and 2

Extracted text: 1. Assume Y=1+X+u, where X, Y, and u=v+Xare r.v.S, v is independent ofX; E(v)=0, Var(v)=1, ECX) 1, and Var(X) 2 1) Calculate E(uX=1), E(Y]X=1), E(u|X=2), E(Y]X=2}, E(uX), ECY]X), E(u) and E(Y) 2) Calculate Var(u|X=1), Var(Y\X=1), Var(u|X=2), Var(Y]X=2), Var(u|X), VarYX),