The number of arrivals at a local petrol station between 3:00 and 5:00pm has a Poisson distribution with a mean of 12.
a. Find the probability that the number of arrivals between 3:00 and 5:00pm is at least 10.
b. Find the probability that the number of arrivals between 3:30 and 4:00pm is at least 10.
c. Find the probability that the number of arrivals between 4:00 and 5:00pm is exactly two.
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