1. The probability that an American industry will locate in Shanghai, China, is 0.7, the probability that it will locate in Beijing, China, is 0.4, and the probability that it will locate in either Shanghai or Beijing or both is 0.8. What is the probability that the industry will locate

(a) in both cities?

(b) What is the probability of A, if the probability of B is given as 0.7. ( A is representing Beijing and B is representingShanghai)?

(c) Show that A and B are independent?