R=2

4) (25) Suppose an insurance firm has three groups of insured people who have claim distribution of the form: 30% of claims follow an N(u = 110 ; 02 =100) distribution , 25% of claims follow an N(u = 120; o2 = 200) distribution, and 45% of claims follow an N(u = 130; 02 = 300) distribution. How much should the company reserve in order to meet all claims with 9R% confidence level. i) in a year ii) in 4 months iii) in a month iv) in 10 days time (225 working days). [100 -20 S=1-20 200 30 10 30 10 300)