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
integers n ≥ 0, p p n n +1 = 1
5 , where pn represents the probability that the policyholder files
n claims during the period.
Under this assumption, what is the probability that a policyholder files more than one
claim during the period?