Jobs arrive at a single machine for processing. Jobs arrive in groups of two (always) with an exponentially distributed time between groups with mean rate . The single server works on individual jobs. The service time is exponentially distributed with a mean rate . Let pn be the probability that there are n jobs in the system in steady-state. Note that there is no limit to the number of jobs allowed into this system. Draw the state diagram with labeled arcs and write the steady-state equations for states 0, 1, 2, 3, 4, and 5. What is the relationship between and that guarantees that a steady-state exists? but under the assumption that the group size is one with probability 1/2 and two with probability 1/2