. A store stocks a particular item. The demand for the product each day is 2 item with probability 3/10, 3 items with probability 1/2, and 4 items with probability 1/5. Assume that the daily demands are independent and identically distributed. Each evening if the remaining stock is less than 3 items, the store orders enough to bring the total stock up to 6 items. These items reach the store before the beginning of the following day. Assume that any demand is lost when the item is out of stock. (a) Let Xn be the amount in stock at the beginning of day n; assume that Xo = 5. If the process is a Markov chain, give the state space, initial distribution, and transition matrix. If the process is not, explain why it's not. (b) Let Yn be the amount in stock at the end of day n; assume that Yo = 2. If the process is a Markov chain, give the state space, initial distribution, and transition matrix. If the process is not, explain why it's not