Business The change in the size of businesses in a certain Canadian city from one year to the next can he described by a Markov chain. The businesses are classified into three categories based on size: small (2-10 employees), medium (11—43 employees), and large (44 or more employees). The transition matrix for a 1-year period is given below.
Suppose that in 2015, there were 2094 small, 2363 medium, and 2378 large businesses. Based on this model, find the number of businesses of each type that would be expected in each of the following years. Source: Applied Statistics.
(a) 2016 (b) 2017
(c) Write the transition matrix for a 2-year period.
Based on your answer to part (c), what percent of medium businesses are in each of the following categories after 2 years?
(d) Small businesses (e) Large businesses
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