15 V(X ± Y) = V(X) V(Y) ± 2 COV(X,Y) = σ5X ± Y 16 If X and Y are independent, V(X ± Y) = V(X) V(Y) However, it is generally NOT TRUE that V(XY) = V(X)V(Y) Expectations Page 3 PROBLEMS HINT Keep in mind that µX and σX are constants 1 Prove that V(X) = E(X µX)5 = E(X5) µX5 HINT Rules 4, 5, and 8 are especially helpful here Solution Equation ExplanationStepbystep explanationWe need to expand (x− 32 y) 3 Suitable identities is (x−y) 3 =x 3 −3x 2 y3xy 2 −y 3 The value of (x− 32 y) 3 is= (x) 3 −3(x) 2 ( 3 manasvijaiswani86 manasvijaiswani86 Math Primary School Expand (xy^2)^3 please tell the answer 1 See answer manasvijaiswani86 is waiting for your help Add your answer and earn pointsExpand 1/12*((xyz)^6 2(x^6y^6z^6) 2(x^3y^3z^3)^2 4(x^2y^2z^2)^3 3(xyz)^2(x^2y^2z^2)^2) Natural Language;
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