4. (10 points) You are given the following regarding coverage for automobile crash losses: (i) Claim counts are expected to follow a Poisson distribution with 1 = 0.10. (ii) Claim sizes are expected to follow a Pareto distribution with a = 2.5 and 0 = 4,500 (iii) We have observed three years of experience from a particular insured: Vehicles Year 1 Year 2 Year 3 1,000 2,000 1,500 100 220 175 325,000 640,000 575,000 Claims Total Losses Using limited fluctuation credibility, with the full credibility standard to be within 5% of the true frequency 90% of the time and the normal approximation, find the credibility frequency estimate for this insured for the fourth year. 4. (10 points) You are given the following regarding coverage for automobile crash losses: (i) Claim counts are expected to follow a Poisson distribution with 1 = 0.10. (ii) Claim sizes are expected to follow a Pareto distribution with a = 2.5 and 0 = 4,500 (iii) We have observed three years of experience from a particular insured: Vehicles Year 1 Year 2 Year 3 1,000 2,000 1,500 100 220 175 325,000 640,000 575,000 Claims Total Losses Using limited fluctuation credibility, with the full credibility standard to be within 5% of the true frequency 90% of the time and the normal approximation, find the credibility frequency estimate for this insured for the fourth year