A new rapid transit system has just started operating. In the first month of operation, it is found that 35% of commuters are using the system, while 65% still travel by car. The following transition matrix was determ of other rapid transit systems. a) What is the initial-state matrix? b) What percentage of commuters will be using the new system after 1 month? 2 months? c) Find the percentage of commuters using each type of after it has been in service for a long time. Next Month Rapid Transit Car Current Rapid Transit , |0.7 0.3 Month Car 0.8 0.2 a) What is the initial-state matrix? Rapid transit Car So = [0 0 ] (Type integers or decimals.) b) After 1 month, % of commuters will be using the new system. (Type an integer or a decimal.) After 2 months, % of commuters will be using the new system. (Type an integer or a decimal.) c) After the new rapid transit system has been in service for a long time, % of commuters will be using it. (Round to one decimal place as needed.) After the new rapid transit system has been in service for a long time. % of commuters will still be travelling by car. (Round to one decimal place as needed))