A and B are independent events such that P(A) = 0.7 and P(B) = 0.4.(a) Find P (A∩B) and P ( A∪B’).(b) Find P (A ∪ B).(c) Are A and B mutually exclusive? Why?
(a) P (A∩B) = P(A)P(B) = 0.28P (A∩B') = P(A)P(B') = 0.42P (A∪B’) = P(A) + P(B') - P (A∩B') = 0.88(b) P (A ∪ B) = P(A) + P(B) - P(A∩B) = 0.82(c) P (A ∪ B) not equal to P(A) + P(B) and so A and B are not mutually exclusive.