Imad has a history of receiving many fines for driving violations. Unfortunately, for imad, modern technology can keep track of his previous fines. As soon as he accumulated 4 tickets, his driving license is revoked (taken by police) until he completes a new driver education class, in which case he starts with a clean slate. Imad is most reckless (negligent), immediately after completing the driver education class and he is invariably stopped by the police with a 50-50 chance of being fined. After each new fine, he tries to be more careful, which reduces the probability by 0.1
a) express the transition matrix
b) determine the long run probabilities