AMA Insurance SA Company found that on the averege, over a period of 10 years, 10% of drivers in lai who were involved in an accident one year were also involved in an accident the following year. They also found that only 15% of the drivers who were not involved in an accident one year were involved in an accident the following year. If in 2020, from the total of 150.000 drivers, 7.500 were involved in an accident, then: a) define clearly the states. draw the transition diagram, find the stochastic matrix P and write the initial state- vector (correspounding to the year 2020); b) find the state-vector corresponding to the year 2021, and found how many drivers will have an accident during the year 2021; a assuming this percentages remain valid over a long period of time and if the total number of drivers in lai will be in the further (aproximative) 200.000, how much money will be paid annualy by insurance company AMA S.A. knowing on the average it will be a cost of 300 Euro/accident? Notice: Define clearly the states, explain what type of processes you have in the problem. Please give minimal explanatios of what you doing (not just calculus!) AMA Insurance SA Company found that on the averege, over a period of 10 years, 10% of drivers in lai who were involved in an accident one year were also involved in an accident the following year. They also found that only 15% of the drivers who were not involved in an accident one year were involved in an accident the following year. If in 2020, from the total of 150.000 drivers, 7.500 were involved in an accident, then: a) define clearly the states. draw the transition diagram, find the stochastic matrix P and write the initial state- vector (correspounding to the year 2020); b) find the state-vector corresponding to the year 2021, and found how many drivers will have an accident during the year 2021; a assuming this percentages remain valid over a long period of time and if the total number of drivers in lai will be in the further (aproximative) 200.000, how much money will be paid annualy by insurance company AMA S.A. knowing on the average it will be a cost of 300 Euro/accident? Notice: Define clearly the states, explain what type of processes you have in the problem. Please give minimal explanatios of what you doing (not just calculus!)