Please answer questions a,d and e ONLY. Provide solutions. The topic is Markov analysis

Question 1 35 points Save Answer A loaf bread is sold in the supermarket. The merchandiser monitors daily the available loaf bread before the supermarket opens. Below is the list of available loaf bread for 30 days: 7 8 Day Qty. 1 2 2 1 3 3 4 2 5 0 6 1 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 1 2 1 2 2 1 2 1 0 1 0 0 2 0 3 3 0 1 1 3 2 2 2 3 a) Formulate the transition probability matrix of the daily available loaf bread. Answer in fraction. Example 1/5., -1/5. 0 1 2 3 States 0 1 2 3 b) Show the steady state equation of pil. Use fraction Place all variables in the lefft hand side. *pi1 + *pi2+ *pi3 + *pi4 = 0 b) Show the steady state equation of pil. Use fraction Place all variables in the lefft hand side. *pi1 + *pi2+ *pi3+ *pi4 = 0 c) Show the steady state equation of pi3. Use fraction. Place all variables in the lefthand side. *pi1 + *pi2+ *pi3+ *pi4 = 0 d) Determine the long-term probability of loaf bread having a daily balance of more than 1. show the equation. e) Determine the long-term probability of loaf bread having a daily balance of at most 1. Show the equation