Question

Let P = 0.5 0.1 0.5 0.9 be the transition matrix for a Markov chain with two states. Let x0 = 0.5 0.5 be the initial state vector for the population. What proportion of the state 2 population will be in state 2 after two steps?

Answer 1

Answer:

Complete solution is given in the images attached below for better demonstration