Question 4 Assume that two customers, A and B, are due to arrive at a lawyer's office during the same hour from 10:00 to 11:00. Their actual arrival times, which we will denote by X and Y respectively, are independent of each other and uniformly distributed during the hour. (a) Find the probability that both customers arrive within the last fifteen minutes. (b) Find the probability that A arrives first and B arrives no later than 15 minutes after A. (c) Find the probability that B arrives first provided that both arrive during the first half-hour