A beacon transmits a signal every 10 minutes). The time at which a receiver is tuned to detect the beacon is a continuous uniform distribution from 8:00 a.m. to 9:00 a.m. Consider the waiting time until the next signal from the beacon is received.
(a) Is it reasonable to model the waiting time as a continuous uniform distribution? Explain.
(b) What is the mean waiting time?
(c) What is the probability that the waiting time is less than 3 minutes?