Question

A country is divided into four regions ( A, B, C and D). It is found that each year 30% of the residents in A move to B, 30% move to and 20% move to D. Of the residents in B, 10% move to C, 5% move to D and 45% move to A. Of the residents in D, 15% move to A, 70% move to C and 10% move to B, while the residents of C will either stay where they are or move to A with equal probability. Write down the transition matrix for this Markov process, To enter a matrix click on the 3x3 grid of squares below. Next select the exact size of the matrix you want. Then change the entries in the matrix to the entries of your answer. If you need to start over then click on the trash can.

Answer 1

The answer for above problem is explained below.

A B C D 1- 0.30 - 0.30 0.30 0.30 0.20 - 0.20 = 0.20 I-0.45 ♡ 0.45 Oo10 0.05 -0,10 -0.05 -0.40 0.50 С 0.50 O 1 -0.15 0.15 Oo10 0.70 -0.10 A -0.70 = 0,05

Transition Matin for this Markov process is А 3 C D А 0.20 0,30 0.0 0.20 تا 0.45 Сьцо 0.10 0.05 C 0.50 o 0.50 0.15 0.10 0.70 0.05 A