M/M/3 model of waiting line

The Sea View Resort uses a multiple-channel queue registration system. If the average service time is 9 minutes, there are three registration clerks, and guests arrive at the rate of one every 6 minutes, find

a. Arrival and service rate.
b. the probability all three clerks are idle.
c. the probability a guest will have to wait.
d. the average time a customer spends in the system.
e. the average number of customers in line.

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This posting contains solution to following problem on Multi channel waiting line.