Question

In: Statistics and Probability

If Var(X) = 1, Var(Y) = 2 and Cov(X,Y) = 0, what is Cov(X-2Y, Y-X2)?

If Var(X) = 1, Var(Y) = 2 and Cov(X,Y) = 0, what is Cov(X-2Y, Y-X2)?

Solutions

Expert Solution

solution:- given that rancx)=1, van 14)=8. Covex, y)20. .: cor (x-24, Y-2x) = cov(x,y) - 2 cov(x,x) . -2 couc4,4) + 4 cov(x,y) - Cov (x, y)=0 Coucx,x) = varcx) Covly, y) = Vanly) . =) equ (1) O- Qvaj (x) - 2 vanly) + 4x0. =) - 21- axa 5) s · cou (x-24; Y=2x) = -6 Scanned with CamScanner


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