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Mathematics, 12.04.2021 22:00 Elsalvador7310

Which of the following scenarios describes a Markov Chain (stochastic matrix) situation? a. Two neighboring restaurants are competing to win the most popular award for 2020. This award is awarded depending on two categories: Food (F) and Drinks (D). During this competition, restaurants place two different booths each, one for food from the restaurant and one for drinks from that restaurant. Customers can walk up and pick up what they want, however, they can only pick up one item from each restaurant. The proportion of selections in each category will determine the winner.

b. A citizen of FasciLand may live in either city A or city B. The descendants may also only live in city A or city B. The probability of a descendant’s choosing which city to live in depends upon where the parents live.
c. Kermit the frog sells both tree frogs and poison dart frogs at two different shops. Both frogs can be bought and returned by the customers at either shop at any given time (as long as the frog is alive). Kermit uses the data to determine how many salespeople to deploy at each shop.
d. There are two required science courses for first year students at Handson School of Engineering, physics and chemistry. Which course they take first semester depends on their advisors’ recommendation, and on their general interests. The registrar uses the proportion of students having taken those courses in the past to determine how large a classroom to allocate to each course.

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