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Please show all of your work. Thank you! Are customers more loyal in the East or in the West? The following table is based on

Please show all of your work. Thank you!

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Are customers more loyal in the East or in the West? The following table is based on information from Trends in the United Sates, published by the food marketing Institute, Washington, D.C. The columns represent loyalty (in years) at a primary supermarket. The ro represent regions of the United States. Less 1 - 2 15 or Than 3 - 4 5 - 9 10 - 14 Row More Years Years Years Years Total 1 Year Years East 32 54 59 112 77 118 452 Midwest 31 68 68 120 63 173 523 South 53 92 93 158 106 158 660 West 41 56 67 78 45 86 373 Column Total 157 270 287 468 291 535 2008 a) What is the probability that a customer chosen at random has been loyal 1 or more years given that he or she is from the Midwest? Round your answer to the nearest thousandth. b) What is the probability that a customer chosen at random is from the East given that he or she has been loyal from 10 to 14 years? Round your answer to the nearest thousandth. c) What is the probability that a customer chosen at random has been loyal from 3 to 4 years? Round your answer to the nearest thousandth

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