1. A harried passenger will miss by several minutes the scheduled 10 A.M. departure time of his fight to New York. Nevertheless, he might still make the flight, since boarding is always allowed until 10:10 A.M., and extended boarding is sometimes permitted as long as 20 minutes after that time. Assuming that extended boarding time is uniformly distributed over the above limits, find the probability that the passenger will make his flight, assuming he arrives at the boarding gate (a) at 10:05; (b) at 10:15; (c) at 10:25; and (d) at 10:35 2. The answer to part (a) and (d) are 1 and 0, right? The answer to part (b) and (c) should be equal because we are talking about uniform distribution here, right?