Suppose that people in a certain group may be classified into 2 categories (say, city dwellers and country dwellers; Republicans and Democrats; Easterners and Westerners; skilled and unskilled workers, and so on). Let us consider a group of engineers, some of whom are Easterners and some of whom are Westerners. Suppose that each person has a certain probability of changing his status: The probability that an Easterner will become a Westerner is 0.04, whereas the probability that a Westerner will become an Easterner is 0.01. In the long run, what proportion of the group will be (i) Easterners, (ii) Westerners, (iii) will move from East to West in a given year, (iv) will move from West to East in a given year? Comment on your answers.