1. (45 points) Consider the discrete-time Markov chain where X, shows the number of units of a critical item in stock when the store closes on the nth evening. This Markov chain has the following probability transition matrix P (on other pages, it is also given in smaller font): 0 1 2 3 0| 04 0 0.6 0 P= 1028 012 042 0.8 o 0.08 02 042 0.3 31 0 008 05 042 a. (3 pts) Compute the probability P{Xs > 2|X4 = 2} (give the answer as a decimal)