9. A credit card company classifies its consumers in a given month in three groups; nonusers, light users, and heavy users. The transition matrix for these states is
Nonuser Light Heavy

Suppose the initial distribution for the three states is [0.4 0.4 0.2]. Find the distribution after each of the following periods.
(a) 1 month
(b) 2 months
(c) 3 months
(d) What is the long-range prediction for the distribution of users?

Question

9.	A credit card company classifies its consumers in a given month in three groups; nonusers, light users, and heavy users. The transition matrix for these states is
                                                                          Nonuser  Light  Heavy
 
Suppose the initial distribution for the three states is [0.4   0.4   0.2]. Find the distribution after each of the following periods.
(a)	1 month
(b)	2 months
(c)	3 months
(d)	What is the long-range prediction for the distribution of users?