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Suppose the counts recorded by a Geiger counter follow a Poisson process with an average of two counts per minute. Round the answers to 3 decimal places. a) What is the probability that there are no counts in a 30-second interval? b) What is the probability that the first count occurs in less than 8 seconds? c) What is the probability that the first count occurs between 1 and 2 minutes after start-up?
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