Question 1 Find the area enclosed between the graphs y = x2 and y = x, between x =0 and x = 2 y = x y = X X 0 N Activate VQuestion 2 Suppose that A and B are events with P(A) = 0.14, P(B) = 0.3 and P(A n B) = 0.04 a) Are A and B independent ? Give a reason b) Are A and B mutually exclusive ? Give a reason c) FindP (A U B)Question 3 Solve y" - 4y' - 5y = 0 U . given y (0) = 1 and y'(0) = 0 Question 4 A box contains 7 balls of which 4 are blue and 3 are white. A ball is picked, color noted, without replacing another is picked. a) Draw a probability tree. b) Find the probability of picking : blue and white ball in that order ii ) blue ball in the second pick