You arrive at a bus stop to wait for a bus that comes by once every 30 minutes. You don't know what time the last bus came by. The time x that you wait before the bus arrives is uniformly distributed on the interval from 0 to 30 minutes. (Round your answers to four decimal places.)

(a) What is the probability that you will have to wait longer than 22 minutes?
(b) What is the probability that you will have to wait less than 8 minutes?
(c) What is the probability that you will wait between 5 and 13 minutes?