please help me answer the following in a step by step process

\f3. Suppose in a small town there are three places to eat, a Chinese restaurant, a Mexican restaurant and a pizza place. Everyone in town eats dinner in one of these places or has dinner at home. Assume that 20% of those who eat in the Chinese restaurant go to Mexican next time, 20% eat home and 30% go to the pizza place. From those who eat in the Mexican restaurant, 10% go to the pizza place, 25% go to the Chinese restaurant, and 25% eats at home next time. From those who eat at the pizza place, 30% eat at home, 30% eat at the Chinese restaurant, and 10% eat at the Mexican restaurant next time. Those who eat at home, 20% go to the Chinese restaurant, 25% go to Mexican restaurant, and 30% to the pizza place. a. Set as the matrix of transition probabilities. b. Find the steady;r state probabilities. c. In the long run, which restaurant will have the most customers.2 4. Data for the progression of oollege students at a parlioular oollege are summarized in the following matrix of transion probabilities: Graduate Drop [In Frolhouo WP! Junior Senior Grldooto | .00 0.00 0.00 om 0.00 one My our one too one not one one \"atom\" 0.00 0.21] 0.l 5 0.05 0.00 one Sophomore 000 0. i5 000 0. l0 0.15 000 Junior 0.00 0. H] 0.01} 0.00 0.05 0.35 Senior 0.90 0.05 om em out 005 a. What states are absorbing states? b. interpret the transition probabilities for a sophomore. o. Compute the probabilities that a sophomore will graduate and that a sophomore will drop out. d. in an address to the incoming oiass ot' r500 freshmen. the dean asks the students to tools around the auditorium and realize that about 50% of the freshmen present today will not make it to graduation day. Does your tuiarl