Answer: X and Y are uncorrelated.
- A X and Y are independent
- B X and Y are uncorrelated
- C X and Y are negatively correlated
- D X = Y
Correct answer: B. X and Y are uncorrelated
Explanation: Cov(X,Y) = 0 means uncorrelated but not necessarily independent (unless jointly normal). Independence implies Cov=0 but not vice versa.
Venn diagram of the universal set U with events A and B, showing the intersection (A and B), the parts unique to each event, and the complement region outside both.
Concept context
Chance, events, conditional probability, and Bayes theorem