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...

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:

b)     The two men arrive within 3 minutes of each other.