In a particular county voters declare themselves as members of the Republican, Democrat, or Green party. No voters change directly from the Republican to Green party or vice versa. In a given year 15% of Republicans and 5%ofGreen party members will become Democrats, while 5% of Democrats switch to the Republican party and 10% to the Green party. Write the transition probability for the model. In the long run what fraction of voters will belong to the three parties.