Consider an M/G/3 queue. The queue waiting time in an M/M/3 queue with the same mean inter-arrival and service times as the M/G/3 queue is known to be 25.8 minutes. The mean service time of each server is 4 minutes with a variance of 9 minutes-squared.

1. Estimate the mean queue waiting time in the M/G/3 queue. (5 points)
2. If the mean inter-arrival time to a multi-server queue is 3 minutes and the mean service time is 4 minutes, what is the minimum number of servers needed for stability?

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