Can any one help me to solve this home work please?
The city of Sacramento recently completed a new light rail system to bring commuters and shoppers into the downtown area and relieve freeway congestion.City planner estimate that each year, 15% of those who drive or ride in an automobile will change to the light rail system; 80% will continue to use automobile; and the rest will no longer go to the downtown area. Of those who use light rail, 5% will go back to using an automobile, 80% will continue to use light rail, and the rest will stay out of the downtown area. Assume those who do not go downtown will continue to stay out od the down town area.
a. Write a transition matrix
b. Find the probability that a person who commuted by automobile ends up avoiding the downtown area
thanks a lot
Edit 1)
For transition matrix I wrote this:
Is this true?