1. The residents of a certain dormitory have collected the following data over a period of time. People who live in the dorm can be classied as either involved in a relationship or not involved in a relationship (\"uninvolved\"). Assume that the people in the dorm who are involved are involved with someone from outside the dorm. Among the involved, 10% experience a breakup of their relationship every month; this number does not seem to uctuate from month to month. Among the uninvolved, 5% will enter into a relationship every month; this number also does not seem to fluctuate. Finally, it is observed that the number of involved is the same as the number of uninvolved residents. What would you expect will happen in the immediate future, and in the long run, with the fraction of residents involved? Defend your