For each of the following statements about an M/M/1 queueing system, label the statement as true or false and then justify your answer by referring to specific statements in the chapter.
(a) The waiting time in the system has an exponential distribution.
(b) The waiting time in the queue has an exponential distribution.
(c) The conditional waiting time in the system, given the number of customers already in the system, has an Erlang (gamma) distribution.