Suppose that each member of an Italian tourist group always spends his/her winter holiday at one of the following popular locations in Turkey: Uluda and Palandken or doesnt go to winter holiday . During a given year, 20% of the tourists visiting Uluda in this group decide to spend their next winter holiday at Palandken and 25% decide not to go to winter holiday for next winter; also, 15% of the tourists visiting Palandken in this group prefer to spend their next winter holiday at Uluda, and 5% prefer not to go to winter holiday for next winter; finally, 18% of the tourists who arent going to winter holiday in this group select their next winter location as Uluda, and 22% select Palandken. (Dont Forget! Each member of this tourist group has to select one of the 2 locations or doesnt go to winter holiday, each year).

a. Determine the transition probability matrix of the Markov chain which can be used to represent the evolution of the winter holiday of a tourist from this Italian tourist group based on the above information.

b. If a tourist from this Italian tourist group is spending winter holiday at Palandken now, what is the probability that he will be at Palandken for the winter holiday two years from now? At Uluda?

c. Suppose that at present, 35% of this Italian tourist group are spending their holiday at Uluda, 25% at Palandken , and 40% arent going to winter holiday . Two years from now, what percentage of this group will be at Palandken?