Question: 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 deviations 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 mean arrive within 3 minutes of noon:
c) The two men arrive within 3 minutes of each other.