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A car-insurance company classifies drivers in three categories: bad , neutral and good .
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where the first row/column corresponds to the bad category, the second to neutral and the third to good.
The company started in January 1990 with 1400 drivers in each category. Estimate the number of drivers in each category in 2090. Assume that the total number of drivers does not change in time.
A yearly premium charged to a driver depends on his/her category; it is $1000 for bad drivers, $500 for neutral drivers and $200 for good drivers. A typical driver has a total of 56 years of driving experience. Estimate the total amount he/she will pay in insurance premiums in those 56 years. You may assume that 56 years is long enough for the limiting theorems to provide an accurate approximation.
