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Az Salon serves one customers a time and provides three seats for waiting customers. If the place is full, customers go elsewhere. Arrivals occur to a Poisson distribution with mean three per hour. The time to get a service is exponential with mean 10 minutes. Determine the following:
a. The steady state probabilities.
b. The expected number of customers in the shop.
c. The probability that the customers will go elsewhere because the shop is full.
d. The probability that the customer will able to get the service immediately.
e. The probability that the customers will not able to get the service immediately.
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