Hello. I ONLY want q3.8 solved. Have provided q3.7 because that is needed for information. Will give thumbs u for correct answer with proper working.

3.7. 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? 3.8. Redo Problem 3.7 under the assumption that the group size is one with probability 1/2 and two with probability 1/2