Suppose that a telemarketer uses random-digit dialing equipment to call three residential telephone numbers at random. There is a 20% chance of reaching a live person with each call, and the calls are independent. (i) What is the probability that the telemarketer reaches a live person with the first two calls but not the third? (ii) What is the probability that exactly two of the calls reach a live person? (Hint: This can happen in three mutually exclusive ways.)