1. Seaports are important in global supply chains. Their management plays an important part in minimizing waiting time for ships that visit seaports for loading and unloading cargo and port utilization. The Mobile container port is a busy seaport on the Gulf of Mexico. Based on the past data, it is observed that 8 ships arrive there per day, on an average, and it takes 5 hours to unload a ship on an average, with a standard deviation of 4 hours. When more than one unloading facilities are in use, assume that arrivals are equally divided for each unloading facility and the system comprises of all unloading facilities.

Determine the following: a. Minimum number of unlading facilities.

b. Probability (each unloading facility is idle)

c. Probability (each unloading facility is busy)

d. Probability of 2 ships in the system and 4 ships in the system

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