Comments on specific questions - Zone A Candidates should answer all FOUR questions: QUESTION 1 of Section A (40 marks) and all THREE questions from Section B (60 marks in total). Candidates are strongly advised to divide their time accordingly. Section A coconut vienob willidsdong ofd and X oldshev mobeat silT () Answer all parts of question 1 (40 marks). salwrodto Question 1 (a) For each one of the statements below say whether the statement is true or false, justifying your answer. .A to oulev odd ball i. For any three events A, B and C, if P(An B n C) = P(A) P(B) P(C) then A, B and C are independent. ii. For any two random variables X and Y it holds that: Var(X - Y) = Var(X) + Var(Y). nibsof iii. The event A is independent of Ac. oo sbing meidue ard lo V.8 gorton2 iv. The product of two unbiased estimators of the same parameter is also an unbiased estimator of the same parameter. I = wh (a)\\ sonic v. Two fair dice are thrown and let A = {the sum of the dice is 2, 4 or 5} and B = {the dice show a total score that is even}. The events A and B are independent. 8 = d oa bas (10 marks)