Question

A gourmet delicatessen by one person, the owner. The arrival pattern of customers on Saturdays appears to follow a Poisson distribution, with mean arrival rate of 10 people per hour. Customers are served on a FIFO basis and because of the reputation of the store, they are willing to wait for the service once they arrive. The time it takes to serve a customer is estimated to be exponentials distributed, with an average service time of 4 minutes.
Determine−:
a. The probability that there is a queue
b. The average size of the queue
c. The expected time that a customer must wait in the queue
d. The probability that a customer will spend less than 12 minutes in the store.

Answer 1

Answer:

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