If (P(X=x|Y=y)= P(X=x),then
A)Y is the dependent variable
B)X and Y are positively correlated
C)X and Y are statistically independent
D)Y must be a discrete random variable

Question

Quizplus · Accepted Answer

If P(X=x|Y=y)= P(X=x), then X and Y are statistically independent, meaning that the occurrence of one does not affect the occurrence of the other. This does not necessarily mean that Y is the dependent variable or that X and Y are positively correlated, and Y can be either a discrete or continuous random variable.