Question 1042553
B. Knowing the value of X provides no information about the value of Y .

It cannot be A, since 0-covariance does NOT imply independence.  (Although independence ===> 0-covariance.)

It cannot be C, because covariance could be zero but E(X) and  E(Y) are NOT.

Now 0-covariance ===> 0-correlation  ===> 0 coefficient of determination, which means the dependent variable cannot be predicted using the independent variable.