Question: [For this problem, please do not round your input parameters when converting between rates and times. For example, if a parameter value is one-third, put

[For this problem, please do not round your input

[For this problem, please do not round your input parameters when converting between rates and times. For example, if a parameter value is one-third, put the formula "=1/3" in the parameter Excel cell instead of 0.333.] An M/M/1 queue has an average interarrival time of 8 minutes and an average service time of 4 minutes. (1) What is the average queue length? customers (two decimal places) (2) What is the probability (between 0 and 1) that there are more than one customers (i.e. two or more) in the system? (three decimal places) If the service time follows a normal distribution with mean 4 minutes and standard deviation 1 minute(s) (assume the arrival process remains the same), (3) What is the average time a customer spent in the system (waiting plus service time)? minutes (three decimal places) If the service time is a fixed (constant) 4 minutes while the arrival process remains unchanged, (4) What is the average time a customer spent in the queue (waiting time)? minutes (three decimal places)

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