15. *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, Pn+1 where pn represents the probability that the policyholder files n claims during the period. (1/5)pn:

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15. *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 2 0, Pn+1 = (1/5)Pn,
where pn represents the probability that the policyholder files n claims
during the period.
_Chapter 7 - Discrete Random Variables
150
Under this assumption, what is the probability that a policyholder files
more than one claim during the period? (0.04)
Transcribed Image Text:15. *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 2 0, Pn+1 = (1/5)Pn, where pn represents the probability that the policyholder files n claims during the period. _Chapter 7 - Discrete Random Variables 150 Under this assumption, what is the probability that a policyholder files more than one claim during the period? (0.04)
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