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be X,Y aletory variables which satisfy Cov(X,Y)=0;E(X)=E(Y)= ;V(X)=(G 1 ) 2 ;V(Y)=(F 2 ) 2 out of all the random variables that satisfy X+(1- )Y

be X,Y aletory variables which satisfy

Cov(X,Y)=0;E(X)=E(Y)= ;V(X)=(G1)2;V(Y)=(F2)2

out of all the random variables that satisfy

X+(1- )Y with [0,1] .

determine what minimizes the expression

E[( X+(1- )Y-)2]

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