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: Day Qty. 1 2 3 4 5 6 7 8 2 1 3 2 0 1 2 3 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 1212212101002033011322 a) Formulate the transition probability matrix of the daily available loaf bread. Answer in fraction. Example 1/5., -1/5. States 0 1 0 1 2 3 b) Show the steady state equation of pi1. Use fraction Place all variables in the lefft hand side. *pi1 + *pi4=0 *pi2+ c) Show the steady state equation of pi3. Use fraction. Place all variables in the lefthand side. *pi1 + *pi4=0 *pi2+ 2 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. *pi3+ *pi3 + 3 I