Posted by Anju on .
Of two-car families in a small city, 88% remain two-car families in the following year and 12% become one-car families in the following year. Of one-car families, 72% remain one-car families and 28% become two-car families. Suppose these trends continue for a few years. At present, 4800 families have one car and 4200 families have two cars.
Find the numbers of one-car familes and two car families two years from now.
I assume you are learning about Markov's chains in the study of matrices
end of year 1:
[4200 4800] x
end of year 2
I am not absolutely sure if I have the correct order, haven't done this kind of math in almost 20 years.