Question: The unloading dock at the warehouse has two workers who unload their own assigned trucks respectively. The inter-arrival time of trucks is exponential with mean

The unloading dock at the warehouse has two workers who unload their own assigned trucks respectively. The inter-arrival time of trucks is exponential with mean of 20 minutes while the unloading time per truck is exponential with a mean of 15 minutes. If a truck arrives and two workers are unloading other trucks, the arriving trucks joins the line of truck waiting for the service. Assuming there is enough space to accommodate essentially any number of trucks waiting in the line:

1) What is the average number of trucks in the waiting line?

a. 0.033 b. 0.5 c. 3 d. 0.1227 e. 2.25 f.0.88

2) What is the total time (in hours) a truck spends in the system?

a. 1 b. 0.2909 c. 0.75 d. 0.3333 e. 0.1778

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