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Assume that the number of cars arriving at a gas station within 10 minutes has a Poisson distribution with the parameter of 4.
(a) What is the probability that at least 2 cars will be arriving at the gas station within 10 minutes?
(b) What is the probability that no more than 2 cars will be arriving at the gas station within 5 minutes?
(c) How many cars will be expected to arrive within five minutes? In addition, find the standard deviation of the number of cars arriving within five minutes.
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