A certain town never has three sunny days in a row. Each day is classied as being either sunny, cloudy (but dry), or rainy. If it has been sulmy for two consecutive days, then it is equally likely to be either cloudy or rainy the next day. If it has been s111n1y for only one day, then it is equally likely to be either sunny or cloudy the next day. If it is rainy or cloudy on a day, then there is 50% of chance that it will be the same the next day, and if it changes then it is equally likely to be either of the other two possibilities. o In the long run, how frequent are we observing a day for which it is cloudy? o In the long run, how frequent are we observing a day for which it is sunny? 0 In the long run, how many day-today transitions are from sulmy to cloudy? Build a Markov chain, describe the solving steps and compute the quantities in closed form