Question One (20 Marks) Suppose centuries ago, a group of people lived in an isolated small village. They loved their land and had no incentives to move. Assume that for the job opportunities, anyone living in that village had ve options, to become either a farmer, butcher, baker, teacher or doctor. For simplication, we name the above 5 job types as Option A, B, C, D and E, respectively. It is also known that: 1] Once a resident became a farmer, the probabilities for him /her to continue being a farmer or become a butcher, baker, teacher or doctor would be 50%, 28%, 10%, 10% and 2%, respectively. 2] Once a resident became a butcher, the probabilities for him/her to continue being butcher or become a farmer, baker, teacher or doctor would be 50%, 20%, 10%, 19% and 1%, respectively. 3] Once a resident became a baker, the probabilities for him/ her to continue being a baker or become a farmer, butcher, teacher or doctor would be 50%, 20%, 20%, 8% and 2%, respectively. 4] Once a resident became a teacher, the probabilities for himfher to continue being a teacher or become a farmer, butcher, baker or doctor would be 10%, 40%, 30%, 20% and 0%, respectively. 5) Once a resident became a doctor, the probabilities for him/her to continue being a doctor is 100%