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Question 3 [15 marks] A Poisson claims process has claims that arise as a result of X-ray services provided and claims that arise as a result of all other services provided. (i) The expected annual number of claims of all types is 300 (ii) The probability that a claim is for x-ray service is 025 (iii) Claim amounts for X-ray services are distributed as a 2-parameter Pareto with a=3 and (9 =150. a6\" Withpdff(X) 2W x> 0,a>0,6 >0 (iv) The variance of aggregate claims is 6,500,000 (v) Claim amounts and the number of claims are independent. Calculate the variance (in millions) of aggregate annual claims if X-ray services are eliminated from the coverage. [Total: 15 marks]