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Real-World Applicationshard
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A two-stage production line is modeled as an M/M/1/3 queue where parts arrive at a rate of lambda=12\\lambda = 12lambda=12 parts/hour. The service rate is mu=10\\mu = 10mu=10 parts/hour. The total capacity of the system (including the unit in service) is 333. Any parts arriving when the system is full are blocked and lost. What is the steady-state probability that the system is full (size = 3)?