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

where p_n 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? Choose one of the following.

(a) 0.04 

(b) 0.16 

(c) 0.20 

(d) 0.80 

(e) 0.96

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1 n = 0, Pn+1 = 5 Pr n