= (10 points) If P(A) = 0.3, P(B) = 0.1, and P(AUB) = 0.4, then P(An B) = (a) Are events A and B independent? (enter YES or NO) (b) Are A and B mutually exclusive? (enter YES or NO) (10 points) For two events A and B, P(A) = 0.8 and P(B) = 0.1. = (a) If A and B are independent, then P(AB) = = P(AUB) = P(ANB) = (b) If A and B are dependent and P(AIB) = 0.5, then P(An B) = P(BA) =