Arrival times. Consider a man and a woman who arrive at a certain location; whoever arrives first will wait for the other to arrive. If X and Y denote (respectively) the arrival times of the man and the woman after noon, in minutes, assume that X and Y are independent and each Uniformly distributed on [0, 60]. (In other words, the man and woman arrive independently, at Uniform times between noon and 1 PM.)
If the woman arrives at 12:35 PM, find the expected time spent waiting, i.e., find
