Events A and B can be either independent or mutually exclusive.
a. (i) Explain the essential difference between independence and mutual exclusivity of two events.
b. (ii) Suppose P(A)=0.45 and P(B)=0.35. For each of the following statements, determine whether it is possible and justify your answer.
(a) P(A∪B)=0.80
(b) P(A∪B)=0.45