Question 1 In a group of students studying at a college, 32% are males and 68% are females. 20% of the males and 35% of the females from this group are majoring in Finance. Find the probability that: a) A student selected at random from this group is a female majoring in Finance {3 marks) b) A student selected at random from this group is not majoring in Finance (3 marks) (3) A Finance student selected at random this group is a male (4 marks) Question 2 Two events, X and Y are defined in a sample space. P(X) = 0.28, P0) = 0.47 and 3) Find (6 marks) b) Are events X and Y independent? (2 marks) c) Are events X and Y mutually exclusive? (2 marks)