Question: Solve the following queueing theory problems. Submit your complete solutions 1. The Metro Rail Transit (MRT) is considering opening a new window counter for elderly,

Solve the following queueing theory problems. Submit your complete solutions

1. The Metro Rail Transit (MRT) is considering opening a new window counter for elderly, handicapped and student discount transactions. Based on the records, management estimates that customers will arrive at a Poisson distribution with a rate of 15 customers per hour. The service attendant who will be assigned can service the customers follows an exponential distribution at a rate of one every three minutes.

Find the following:

(a) Probability that the service facility is empty

(b) The percentage (or probability) of time that the service attendant is accommodated

(d) Average number in the system

(e) Average waiting time in the queue

(f) Average waiting time in the system

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