Consider an M/G/1 queue in which bulk arrivals occur at rate ? and with a probability g, that r customers arrive together at an arrival instant. (a) Show that the z-transform of the number of customers arriving in an terval of length is e-G where G()- 8,z (b) Show that the z-transform of the random variables v, the number of ar rivals during the service of a customer, is BA AG(2)] Consider an M/G/1 queue in which bulk arrivals occur at rate ? and with a probability g, that r customers arrive together at an arrival instant. (a) Show that the z-transform of the number of customers arriving in an terval of length is e-G where G()- 8,z (b) Show that the z-transform of the random variables v, the number of ar rivals during the service of a customer, is BA AG(2)]