Let P = 0.50.30.50.7 be the transition matrix for a Markov chain with two states. Let x0 = 0.50.5 be the initial state vector for the population. Find the steady state vector x. (Give the steady state vector as a probability vector.)

Probability distribution vector =

Step-By-Step Explanation

If  is the transition matrix for a Markov chain with two states.  

 be the initial state vector for the population.

In the long run, the probability distribution vector Xm approaches the probability distribution vector .

This is called the steady-state (or limiting,) distribution vector.