Question

1. 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 $n ge 0$, $p_{n+1} = frac{p_n}{3}$ 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 two or more claims during the period given that the holder files one or more claims?

          1. 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 $n ge 0$, $p_{n+1} = frac{p_n}{3}$ 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 two or more claims during the period given that the holder files one or more claims?

$1. In modeling the number of claims filed by an individual under an automobile policy during a three-year period, an actuary makes the simplifying assumption that for all integers n ge 0, pn+1 = fracpn3 where pn represents the probability that the policyholder files n claims during the period. Under this assumption, what is the probability that a policyholder files two or more claims during the period given that the holder files one or more claims?$

Added by Christian C.

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