Let X and Y be two (continuous or discrete) random variables with E(X)=D2, E(Y)3D5, Var(X)=9, Var(Y)=16 and Cov(X,Y)=5. Find (a) Var(2X - 5Y); (b) Cov(4X-5Y); (e) E (2X² 5Y2 +2).

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Let X and Y be two (continuous or discrete) random variables with E(X)-2, E(Y)=5,
Var(X)=9, Var(Y)=16 and Cov(X,Y)=5. Find
(a) Var(2X - 5Y);
(b) Cov(4X-5Y);
(e) E (2X2
-5Y2 +2).
|
Transcribed Image Text:Let X and Y be two (continuous or discrete) random variables with E(X)-2, E(Y)=5, Var(X)=9, Var(Y)=16 and Cov(X,Y)=5. Find (a) Var(2X - 5Y); (b) Cov(4X-5Y); (e) E (2X2 -5Y2 +2). |
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