Question.8 [4+4+4=12 Marks] (i) Suppose P(A)=0.42,P(B)=0.38,P(A or B)=0.70 (a) Are the events A and B mutually exclusive ? explain you answer (b) Are the events A and B independent? explain your answer (ii) If a random variable X has a mean ?=E(X)=1.10, and it follows the following probability distribution: find the values of a and b. (iii) Suppose X is normally distributed with mean ?=11. Find its standard deviation ? if the probability that X is less than 11.66 is 0.7517