In a survey, it was found that 72% of the population of a certain urban area lived in single-family dwellings and 28% in multiple housing. One year later, of those who had been living in single-family dwellings, 89% still did so, but 11% had moved to multiple-family dwellings.
Of those in multiple housing, 94% were still living in that type of housing, while 6% had moved to single-family housing. Assume that
these trends continue. Answer parts (a)-(d).
(a) Write a transition matrix using this information. Set it up so that the first row and first column represent single-family dwellings and
the second row and second column represent multiple housing.