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Question 7 (6 marks) For a portfolio of insurance risks, aggregate losses per year per exposure follow a normal distribution with mean and standard deviation

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Question 7 (6 marks) For a portfolio of insurance risks, aggregate losses per year per exposure follow a normal distribution with mean and standard deviation 1000, with varying by class as follows: Class Percent of Risks in Class X 2000 60% 3000 Z 4000 A randomly selected risk has the following experience over three years: Y 30% 10% Year Number of Exposures Aggregate Losses 1 24 24,000 2 30 36,000 3 26 28,000 Calculate the Buhlmann-Straub estimate of the mean aggregate losses per year per exposure in Year 4 for this risk. Question 7 (6 marks) For a portfolio of insurance risks, aggregate losses per year per exposure follow a normal distribution with mean and standard deviation 1000, with varying by class as follows: Class Percent of Risks in Class X 2000 60% 3000 Z 4000 A randomly selected risk has the following experience over three years: Y 30% 10% Year Number of Exposures Aggregate Losses 1 24 24,000 2 30 36,000 3 26 28,000 Calculate the Buhlmann-Straub estimate of the mean aggregate losses per year per exposure in Year 4 for this risk

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