IND ENG 173 Midterm: ieor173-sp2017-mt1-Olvera-Cravioto-soln

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Place all answers on the question sheet provided. The exam is open textbook and open notes/handouts/ homework. You are allowed to use a calculator, but not a computer, tablet or smartphone. Write all answers clearly and in complete sentences. All answers should be supported by analysis or an argument. This exam has a total of 53 points: alan owns a store in the neighborhood and he believes that there are good days, when many customers come into his store, and bad days, when very few do. Let xn = 1 if the nth day is a good day, and xn = 2 if it is a bad day. (a) [6 pts] write the one-step transition probability matrix. Ind eng 173, first midterm solutions (b) [7 pts] suppose that the 2-step transition matrix is. Today (thursday) was a really bad day, since no customers showed up at all. Compute the probability that this coming sunday is a good day.

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