Busses headed for Chicago leave the bus station exactly every 15 minutes starting at 6:00am while buses headed for Rockford leave the station exactly every 15 minutes starting at 6:05 am.

a.) A passenger arrives every day at the station at a random time uniformly distributed between 6 am and 7 am and takes the first bus that leaves the station. What percentage of the time will she go to Chicago?

b.) IF she arrives at a time uniformly distributed but between 6:10 and 7:10, what percentage of the time will she go to Chicago?