Peter and paul agree to meet at a restaurant at noon. peter arrives at a time normally distributed with mean 12: 00 noon, and standard deviation 5 minutes. paul arrives at a time normally distributed with mean 12: 02 p. m., and standard deviation 3 minutes. assuming the two arrival times are independent, find the chance that

(a) peter arrives before paul;
(b) both men arrive within 3 minutes of noon;
(c) the two men arrive within 3 minutes of each other.