A queue is observed 10000 time intervals with data as given in the array qdata below. This is the same as Question 5 of Practical 1. (a) Construct a simple model for this queue as a Markov chain with only nearest neighbour interactions. 1. Estimate the transition probabilities. 2. What is the expected behaviour of the queue as time continues? 3. Is the system ergodic? (b) Suppose that the time step used is known to be 10sec. 1. What is the average waiting time for customer service/arrival? 2. What is average number of servicings/arrivals per minute? (c) Simulate this system and compare the actual frequencies of events with the simulated ones. 2231 qdata =[5,5,5,6,5,6,6,7,6,5,6,5,4,5,6,6,6,7,8,7,6,6,6,5,4,4,5,5,4,5,6,6,5,4,3,3, [26]: N=len(qdaa2) max( adata) N1=N print(N1)