Question: PROBLEM 5 A bookstore restocks a popular book to a level of 100 copies at the start of each day. The data for the last

PROBLEM 5 A bookstore restocks a popular book to
PROBLEM 5 A bookstore restocks a popular book to a level of 100 copies at the start of each day. The data for the last 30 days provide the following end-of-day inventory position: 1, 2,0,3, 2, 1, 0, 0,3,0,1,1,3,2,3,3, 2, 1, 0, 2,0,1,3, 0,0,3, 2, 1, 2, 2. . (a) Represent the daily inventory as a Markov chain. (b) Determine the steady-state probability that the bookstore will run out of books in any one day. (c) Determine the expected daily inventory (d) Determine the average number of days between successive zero inventories

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