Consider a nail salon, which only offers manicures, with two nail technicians and one waiting chair.Each nail technician does manicures at a rate of two per hour, and customers arrive at rate 6 perhour, both with exponentially distributed times. Customers arriving to a fully occupied salon leave immediately. (a) Find the stationary distribution for the number of customers. (b) What fraction of customers leave without a manicure on the long run? (c) After it becomes empty, for how long does the shop stay empty on average?

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