Two supermarkets serving the Northside area of San Antonio, H.E.D. and Walbart, are interested in identifying the habits of their customers in terms of returning back to the store in consecutive weeks. It is found that if a customer shopped at H.E.D. in a given week, the probability that the customer returns to H.E.D. next week is 0.87 and the probability that the customer goes to Walbart is 0.13. If a customer shopped at Walbart in a given week, the probability that the customer returns to Walbart next week is 0.75 and the probability that the customer goes to H.E.D. the next week is 0.25. Suppose that we are considering the Markov process associated with the shopping trips of one customer, but we do not know where the customer shopped during the last week. Thus, we might assume a 0.5 probability that the customer shopped at H.E.D. and a 0.5 probability that the customer shopped at Walbart at period 0; that is, T¡(0) = 0.5 and T2(0) = 0.5. Given these initial state probabilities, answer the following questions (round to three decimal places):

Two supermarkets serving the Northside area of San Antonio, H.E.D. and Walbart, are interested in identifying the habits of their customers in terms of returning back to the store in consecutive weeks. It is found that if a customer shopped at H.E.D. in a given week, the probability that the customer returns to H.E.D. next week is 0.87 and the probability that the customer goes to Walbart is 0.13. If a customer shopped at Walbart in a given week, the probability that the customer returns to Walbart next week is 0.75 and the probability that the customer goes to H.E.D. the next week is 0.25. Suppose that we are considering the Markov process associated with the shopping trips of one customer, but we do not know where the customer shopped during the last week. Thus, we might assume a 0.5 probability that the customer shopped at H.E.D. and a 0.5 probability that the customer shopped at Walbart at period 0; that is, T¡(0) = 0.5 and T2(0) = 0.5. Given these initial state probabilities, answer the following questions (round to three decimal places):

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Holt Mcdougal Larson Pre-algebra: Student Edition 2012

1st Edition

ISBN:9780547587776

Author:HOLT MCDOUGAL

Publisher:HOLT MCDOUGAL

Chapter11: Data Analysis And Probability

Section11.8: Probabilities Of Disjoint And Overlapping Events

Problem 2C

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