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If X and Y Are Any Random Variables with E(X)=

Question 29

Multiple Choice

If X and Y are any random variables with E(X) = 3, E(Y) = 2, E(XY) = 12, V(X) = 16 and V(Y) = 25, then the relationship between X and Y is a:  Hint: corr(X,Y) =Cov(X,Y) /((V(X) V(Y) ) =(E(XY) E(X) E(Y) ) /(V(X) V(Y) ) \text { Hint: } \operatorname { corr } ( X , Y ) = \operatorname { Cov } ( X , Y ) / ( ( \sqrt { V ( X ) } \sqrt { V ( Y ) } ) = ( E ( X Y ) - E ( X ) E ( Y ) ) / ( \sqrt { V ( X ) } \sqrt { V ( Y ) } )


A) weak negative relationship.
B) strong positive relationship.
C) strong negative relationship.
D) weak positive relationship.

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