Busloads of customers arrive at an infinite server queue at a Poisson rate 1. Let G denote the service distribution. A bus contains j customers with probability aj, j = 1, 2, .... Let X(t) denote the number of customers that have been served by time t. (a) Self-study and summarize the concepts of queueing theory and infinite server queue. (c) Find E[X(t)] (b) Find the distribution of X(t), for a given t