Consider the following statements about an M/M/1 queueing system and its utilization factor p. Label each of the statements as true or false, and then justify your answer.
(a) The probability that a customer has to wait before service begins is proportional to p.
(b) The expected number of customers in the system is proportional to p.
(c) If p has been increased from p = 0.9 to p = 0.99, the effect of any further increase in p on L, Lq, W, and Wq will be relatively small as long as p < 1.