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　　H(300).
　　(A) Less than 0.50
　　(B) At least 0.50, but less than 0.75
　　(C) At least 0.75, but less than 1.00
　　(D) At least 1.00, but less than 1.25
　　(E) At least 1.25
　　Exam C: Fall 2005 -2- GO ON TO NEXT PAGE
 
　　2. You are given:
　　(i) The conditional distribution of the number of claims per policyholder is Poisson with
　　mean λ .
　　(ii) The variable λ has a gamma distribution with parameters α and θ .
　　(iii) For policyholders with 1 claim in Year 1, the credibility estimate for the number of
　　claims in Year 2 is 0.15.
　　(iv) For policyholders with an average of 2 claims per year in Year 1 and Year 2, the
　　credibility estimate for the number of claims in Year 3 is 0.20.
　　Determine θ .
　　(A) Less than 0.02
　　(B) At least 0.02, but less than 0.03
　　(C) At least 0.03, but less than 0.04
　　(D) At least 0.04, but less than 0.05
　　(E) At least 0.05
　　Exam C: Fall 2005 -3- GO ON TO NEXT PAGE
 
　　3. A random sample of claims has been drawn from a Burr distributi
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