The number of cars that pass through a certain intersection follows a Poisson distribution with a mean of 2 cars per minute. Find the probability that: (a) no cars pass through the intersection in a given minute. (b) at least 3 cars pass through the intersection in a 2-minute interval. (c) between 3 and 8 cars pass through the intersection in a 2-minute interval. (d) no cars pass through the intersection in a 30-minute interval.

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