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You are given that the total claims distribution per period follows a compound Poisson distribution. The claim size follows a Pareto distribution with parameters o=4

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You are given that the total claims distribution per period follows a compound Poisson distribution. The claim size follows a Pareto distribution with parameters o=4 and 0= 3,000 (distribution function F(x)= 1 - 3,000 x+3,000. A full credibility standard is established so that the actual number of claims will be within 5% of the expected number of claims 95% of the time. Determine the number of expected claims needed for 60% partial credibility for the distribution of number of claims

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