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2. (6 points) The survival function for a new car is given by the following table: t (years) 0 1 2 3 4 5 6 S(t) 1.0 0.98 0.87 0.75 0.64 0.6 0.55 A car rental company owns 100 of such type of cars that age 2. Each car is insured for 10,000 with a coverage of 3 years, and loss is payable at the end of the year of damage. You are given: ()) Y is the present value random variable for the aggregate losses on the 100 cars. (ii) 0,1,2 damage(s) actually happened in the first, second and third year, respectively. (iii) Annual effective interest rate is 0.1. Calculate the ratio of the actual value and the expected value of Y