Quick solution Please

Every year, during the March-through-September growing season, a gardener uses a chemical test to check soil condition. Depending on the outcome of the soil test, productivity for the new season can be one of three states: (1) good, (2) fair, and (3) poor. Over the year, the gardener has observed that last year's soil condition impacts current year's productivity. If this year's soil condition is good, there is a 0.5 chance it will not change next year, and a 0.3 chance it will be fair. If this year's soil condition is fair, there is a 0.5 chance it will not change next year, and a 0.4 chance it will be poor. If this year's soil condition is poor, there is a 0.6 chance it will not change next year, and a 0.3 chance it will fair. 1.Define the proper states of this system. 2.Construct the set of state space (S = {..... ... }. 3. Is this a stochastic system/process, and why?. 4. Construct the state transition Diagram for the system. 5.Check (with explaination) for Markovian property (Markov Process) 6.Construct the one step transition matrix (Pl) 7. Comment on the one step transition matrix (Pl) ( hint: Row's sum, Matrix Dimension, values, etc.) 8.Can you describe the system as a discrete-time Markov chain (Markov chain), why?. 9. Write the Initial probability matrix (hint: P) 10.Compute the 2-step transition probability Matrix (P2) 11. Compute the 4-step transition probability Matrix (P) 12.Compute the 8-step transition probability Matrix (P8) 13.Compute the 16-step transition probability Matrix (P)