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(Solved): Two random variables X and Y have, X=2,Y=1,X=1,Y=4, and X,Y=1/4. Let U ...



Two random variables \( X \) and \( Y \) have, \( \mu_{X}=2, \mu_{Y}=-1, \sigma_{X}=1, \sigma_{Y}=4 \), and \( \rho_{X, Y}=1

Two random variables and have, , and . Let and . Find the following quantities: (a) and ; (b) , and ; (c) , and .


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Given that?x=2 ?x=1?y=?1 ?y=4?xy=14U=X+2Y , V=2X?YPart a)The expected value of random variable U is E(U)=E(X+2Y)=E(X)+2E(Y)=2?2×1=2?2=0The expected
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