hw help show work please

it has 4 parts please answer the first 4 thank you will upvote

part D thabk you so much

1. Answer the following questions: a) We have two mutually exclusive events: A and B. If P(A) = 0.3 and P(B) P(A/B) (5 points) = 0.4, compute b) If P(B) = 0.7, P(A) = 0.3, and P(AUB) = 0.85, are events A and B independent? Justify your answer. (5 points) c) If P(B) = 0.7, P(A) = 0.15, and P(AUB) = 0.85, are events A and B mutually exclusive? Justify your answer. (5 points) d) Suppose P(A/B) = 0.25 and P(BC) = 0.6. What is P(An B)? (5 points)