A new rapid transit system has just started operating. In the first month of operation, it is found that 25% of commuters are using the system, while 75% still travel by car. The following transition matrix was determined from records 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? After 2 months?

(C) Find the percentage of commuters using each type of transportation after the new system has been in service for a long time.

Transcribed Image Text:

Next month Rapid transit Car Current Rapid transit [.8 [.3 .2] month Car .7