Consider a single-server queueing system with capacity 3 and is initially empty. A customer arrives at time 0, and successive inter-arrival times are exactly x minutes. The service times are exactly y minutes. (3pts) When x > y, draw a sample trajectory of X(t). (4pts) Write down = [0,1,2,3] and . (4pts) What is the long-run fraction of time that X(t) spends in the state 1? (3pts) When y > x, draw a sample trajectory of X(t)