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Schips Department Store operates a fleet of 3 trucks. The trucks arrive at random times throughout the day at the store's truck dock to be loaded with new deliveries or to have incoming shipments from the regional warehouse unloaded. Each truck returns to the truck dock for service two times per 8-hour day. Thus, the arrival rate per truck is 0.2 trucks per hour. The service rate is 3 trucks per hour. Using the Poisson arrivals and exponential service times model with a finite calling population of 3 trucks, determine the following operating characteristics:
a. The probability that no trucks are at the truck dock
b. The average number of trucks waiting for loading/unloading
c. The average number of trucks in the truck dock area
d. The average waiting time before loading/unloading begins
e. The average waiting time in the system
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