An Automobile Service Center Can Take Care of 8 Cars

An automobile service center can take care of 8 cars per day. Assume that the cars arrive at the service center randomly and independently of each other at a rate of 6 per hour, on average.
What is the standard deviation of the number of cars that arrive at the center?
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What is the probability of the service center being empty in any given hour?
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What is the probability that exactly 6 cars will be in the service center at any point during a given hour?
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What is the probability that less than 2 cars will be in the service center at any point during a given hour?
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