(1) Consider a barber shop with two barbers and one waiting chair. Each barber cuts hair at a rate of two customers per hour, and customers arrive at rate 5 per hour, both With exponentially distributed times. Customers arriving to a fully occupied shop leave immediately. (a) Find the stationary distribution for the number of customers. [4 marks] (b) What fraction of customers leave Without a haircut on the long run? [2 marks] (c) What fraction of the time is the shop empty on the long run? [2 marks] (01) After it becomes empty, for how long does the shop stay empty on average? [2 marks]