Consider this simple weather graph at the right Appropriatel

Consider this simple weather graph at the right. Appropriately set up a One-Step Transition Matrix underneath the graphic, and then solve for its steady state conditions. Report your probabilities to 4 decimal places. In the long run, how much more probable is it to be rainy vs. sunny? That is, use the space below this text box to select cells from your steady state matrix and find the ratio of Pr(Sunny) to Pr(Rainy), and then enter that value below formatted as a percentage to 0 decimal places.

Solution

pr(rainy) = 0.5*0.1 = 0.05
pr(sunny) = 0.5*0.9 = 0.45

pr(sunny)/pr(rainy) = 0.45/0.05 = 9 times

Answer: 9 times