Two Random Variables X and Y Are Independently Distributed If $\mid X$

Multiple Choice

Two random variables X and Y are independently distributed if all of the following conditions hold, with the exception of

A) Pr(Y = y $\mid X$ = x) = Pr(Y = y) .
B) knowing the value of one of the variables provides no information about the other.
C) if the conditional distribution of Y given X equals the marginal distribution of Y.
D) E(Y) = E[E(Y $\mid X$ ) ].