If X and Y are independent random variables with E(X) = 10, Var(X) = 4,E(Y) = 12 and VAR(Y) = 3, If W =-2X +Y Find E(W) and STD (W)(a)(b)If X and Y are not independent, with E(X) =10, VAR(X) = 5, E(I) =18,VAR(Y) = 3 and CovX,Y) = -2. If W = X – 2Y Find E(W) and STD(W)

Given,E(X)10Var(X)=4E(Y)=12Var(Y)=3W=-2X+Y X and Y are independent.

If X and Y are independent random variables with E(X) =10, Var(X)= 4, E(Y) =12 and VAR (Y) = 3, If W = -2X +Y Find E(W) and STD(W) (a) If X and Y are not independent, with E(X) =10 , VAR(X)= 5, E(X') =18, VAR(Y) = 3 and CovX,Y) =-2. If W = X – 2Y Find E(W) and STD(W) (b)

If X and Y are independent random variables with E(X) =10, Var(X)= 4, E(Y) =12 and VAR (Y) = 3, If W = -2X +Y Find E(W) and STD(W) (a) If X and Y are not independent, with E(X) =10 , VAR(X)= 5, E(X') =18, VAR(Y) = 3 and CovX,Y) =-2. If W = X – 2Y Find E(W) and STD(W) (b)

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter10: Sequences, Series, And Probability

Section10.8: Probability

Problem 22E

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Question

If X and Y are independent random variables with E(X) = 10, Var(X) = 4,
E(Y) = 12 and VAR(Y) = 3, If W =-2X +Y Find E(W) and STD (W)
(a)
(b)
If X and Y are not independent, with E(X) =10, VAR(X) = 5, E(I) =18,
VAR(Y) = 3 and CovX,Y) = -2. If W = X – 2Y Find E(W) and STD(W)

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