試題詳解

13. 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 ( n+1)=0.2p(n) where p(n) represents the probability that the policyholder files n claims during the period.
 Under this assumption, calculate the probability that a policyholder files more than one claim during the period.
(A) 0.04
(B) 0.16
(C) 0.20
(D) 0.80
(E) 0.96