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Question 2 ( 5 marks) Marks A clothing goods company operates retail stores in Parramatta and Campbelltown areas. Customers from these areas were asked to

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Question 2 ( 5 marks) Marks A clothing goods company operates retail stores in Parramatta and Campbelltown areas. Customers from these areas were asked to rate their shopping experience. The ratings provided by the customers are as follows: Poor- 10%; Average-55%; and Very good- 35%. Among the customers from Parramatta; 65% of them rated Poor; 40% of them rated Average; and 30% of them rated Good. (i) Write the associated probabilities on the provided boxes representing the above information to complete the tree diagram below. [2] (ii) Using Bayes' theorem, find the probability that a customer who shopped clothing goods in Campbelltown area rated his or her experience Very good. e.g. P(VG|Camppbelltown) . [3]

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