(15 points) Customers calling the doctor's office to schedule an appointment arrive at the single server queue (there is only one phone at the doctor's office) in accordance with a Poisson process with rate. However, if the arriving customer findsncustomers already in line (including the customer being served), they will enter the queue with probabilityn. Assuming an exponential service rate, set this up as a birth and death process and determine the birth and death rates. Draw the rate diagram (state transition diagram).