Answer:
Step-by-step explanation:
A. The steady state probability vectorπ= (π1, π2, π3, π4, π5, π6, π7) satisfies the system ofequations:πP=π,7Xi=1πi= 1which has solutionπ= (π1, π2, π3, π4, π5, π6, π7) = (0.1389,0.1389,0.1390,0.1383,0.1411,0.1302,0.1736)
(B) At any time period, an emergency delivery will be needed ifXn= 1 and the demands either 2 or 3, or ifXn= 2 and the demand is 3. The long-run proportion of time the chain will be in state 1 isπ1 and in-state 2π2.
