Question

Can you explain how we get this matrix for this question?!

5. [10 pts An individual either drives his car or walks in going from his home to his office in the morning, and from his office to his home in the afternoon. He uses the following strategy: If it is raining in the morning, then he drives the car, provided it is at home to be taken. Similarly, if it is raining in the afternoon and his car is at the office, then he drives the car home. He walks on any morning or afternoon that it is not raining or the car is not where he is. Assume that, independent of the past, it rains at the beginning (end) of a day with constant probability p. In a lone run, what fraction of time does our man get wet?

Answer 1

Anso voe can madel thfc The tanstion probabit prso happens uolth i-p cos e 7h doesn't oom but then 9t γα¡ns on unay back. hi has ex dotn't howe ca*isng tho imitnerdtstalbutioR sub dast fajn a-P

ma he TC ℉1/2, the cai 91 always at home- foom tic we con compute TNCC doeen+ have ca and sain oR has ac 4n the ion das tils could happn ht deecnt hove ca he has the con ath motnmą and in was eiht 汝en the c fn the moining and it staino lut