(5 points) A and B are independent events with probabilities a and , respectively. The conditional probability that both occur, given at least one occurs, (that is, P(An B | AUB)) 18 (a) (b) (c) (d) (e) at-ap' (5 points) In the spirit of diversity, independent random variables X ~ normal(1, 2), Y ~ Poisson(3) and Z ~ gamma(4. 5) get together for a (socially distanced) party. Let T = X + Y + Z be their sum. The variance of T' is (a) 2 x 3 x 5. (6) 2+3+5. (C) 2+ 3 + 20. (d) 2+3 + . (e) 2+3+