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: $$\text { Hint: } \operatorname { corr } ( X , Y ) = \operatorname { Cov } ( X , Y ) / ( ( \sqrt { V ( X ) } \sqrt { V ( Y ) } ) = ( E ( X Y ) - E ( X ) E ( Y ) ) / ( \sqrt { V ( X ) } \sqrt { V ( Y ) } )$$

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

---

Definitions:

Aortic Arch

The curved portion of the aorta, the largest artery in the body, from which major arteries to the head and upper limbs branch off.

Brachiocephalic Artery

A major blood vessel of the arterial system that supplies blood to the right arm and head, branching from the aorta.

Coronary Artery

One of two arteries that arise from the base of the aorta and carry blood to the muscle of the heart.

Abdominal Aorta

The portion of the aorta that passes through the abdomen, supplying oxygenated blood to the abdominal and pelvic organs and the legs.