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An insurance company has determined that each week an average of six claims are filed in their Atlanta branch. (Round your answers to four decimal places.) (a) What is the probability that during the next week exactly four claims will be filed? (b) What is the probability that during the next week no claims will be filed? (c) What is the probability that during the next week fewer than four claims will be filed? (d) What is the probability that during the next week at least twelve claims will be filed?