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Please work on the following question and provide the two ways of solutions (the two solutions...

Please work on the following question and provide the two ways of solutions (the two solutions should have the same results):

Suppose a radioactive source is metered for two hours, during which time the total number of alpha particles counted is four hundred eighty-two. What is the probability that exactly three particles will be counted in the next two minutes? Answer the question two ways—first, by defining X to be the number of particles counted in two minutes, and second, by defining X to be the number of particles counted in one minute.

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