Question: (It's queueing problem) There is a cargo facility with one dock. Vehicles arrive at an average rate of one every 10 minutes, following an exponential

(It's queueing problem)

There is a cargo facility with one dock. Vehicles arrive at an average rate of one every 10 minutes, following an exponential distribution. The service time for each vehicle has a mean of 6 minutes and a standard deviation of 2 minutes, following a normal distribution. Please answer the following questions:

(1) Calculate the probability of the dock being empty.

(2) Determine the average number of vehicles in the cargo facility, the average number of vehicles waiting, the average duration of stay, and the average waiting time.

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