Suppose Y is N4​(μ,Σ), where μY​=⎣⎡​−23−15​⎦⎤​,ΣY​=⎣⎡​11−839​−89−36​3−323​9639​⎦⎤​ a) (10 pts) Find the distribution of Z=4Y1​−2Y2​+Y3​−3Y4​. b) (10 pts) Find the joint distribution of Z1​=Y1​+Y2​+Y3​+Y4​ and Z2​=−2Y1​+3Y2​+Y3​−2Y4​. c) (10pts) Find the distribution of Y3​.