Would you like to solve all, please

(b) A small barber shop can cut the hair of up to three customers at any one time. There is space in the shop for one customer to wait. Customers arrive randomly (inter-arrival times are exponentially distributed) and service times are also exponentially distributed. - Describe this queuing system using Kendall's notation. - Draw the Markov Chain and the Generator Matrix for this system. [1] [6] (c) If the average arrival rate for customers is 5 an hour, and each barber can cut the hair of 3 customers an hour, use the generator matrix you have given above to derive the steady state probabilities and calculate the probability that all three barbers are busy and there is one customer waiting. (Show all working) (d) What is the traffic intensity () for this system? (b) A small barber shop can cut the hair of up to three customers at any one time. There is space in the shop for one customer to wait. Customers arrive randomly (inter-arrival times are exponentially distributed) and service times are also exponentially distributed. - Describe this queuing system using Kendall's notation. - Draw the Markov Chain and the Generator Matrix for this system. [1] [6] (c) If the average arrival rate for customers is 5 an hour, and each barber can cut the hair of 3 customers an hour, use the generator matrix you have given above to derive the steady state probabilities and calculate the probability that all three barbers are busy and there is one customer waiting. (Show all working) (d) What is the traffic intensity () for this system