Problem 2 - (50 Points) 11 ^, = 50/hr. > S1 11 = 60/hr. 3 35/hr. 0. 8 36/hr. 2, = 20/hr. S2 1 = 45/hr. -45/hr. 18/hr. 10.25 Ho = 12/hr Consider the queueing network shown above. Assume that the external arrivals are Poisson (inter-arrival times exponentially distributed), all service times are exponentially distributed, all routing is probabilistic, and all queues have infinite length. Questions: 1. [30 points) Compute by hand the effective arrival rate for server S5. Attach your computations, and make sure that they are legible