B&K Groceries operates with three checkout counters.The manager uses the following schedule to determine the number of counters in operation, depending on the number of customers in line.

# of customers in store# of counters in operation

1 to 31

4 to 62

More than 63

Customers arrive to the counters area according to a Poisson distribution with a mean rate of 10 customers per hour.The average checkout time per customer is exponential with a mean of 12 minutes.Determine the steady state probabilities Pn of n customers in the checkout area.Note, the service rate of each attendant is 5 customers per hour.