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In modeling the number of claims filed by an individual under an automobile policy during a three-year period, an actuary makes the simplifying assumption that

In modeling the number of claims filed by an individual under an automobile policy during a three-year period, an actuary makes the simplifying assumption that for all integern 0, Pn+1=(1/5)Pn, where Pn represents the probability that the policyholder filesnclaims during the period. Under this assumption, what is the probability that a policyholder files at least one claim during the period?

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