Consider a bus that can carry up to c people at a time. At each stop, each person on the bus departs the bus with probability q, independent of everything else. After any such departures, a Poisson (with mean 1] number of new potential riders arrive. The potential riders try to board the bus. If there are enough open spots on the bus, then all potential riders board. If there are more potential riders than there are open spots, then as many potential riders board as there are open spots. The overflow potential riders do not get on the bus and instead decide to take some other form of transit. (10 points) Compute the stationary distribution under the above parameter values. (5 points) Compute P2, P5, p20. Consider a bus that can carry up to c people at a time. At each stop, each person on the bus departs the bus with probability q, independent of everything else. After any such departures, a Poisson (with mean 1] number of new potential riders arrive. The potential riders try to board the bus. If there are enough open spots on the bus, then all potential riders board. If there are more potential riders than there are open spots, then as many potential riders board as there are open spots. The overflow potential riders do not get on the bus and instead decide to take some other form of transit. (10 points) Compute the stationary distribution under the above parameter values. (5 points) Compute P2, P5, p20