The following table is based on information from Trends in the United States, published by The Food Marketing Institute, Washington, D.C. The columns represent loyalty (in years) at a primary supermarket. The rows represent regions of the United States. Less Than 1 Year1 – 2 Years3 – 4 Years5 – 9 Years10 – 14 Years15 or More YearsRow TotalEast32545911277118452Midwest31686812063173523South539293158106158660West415667784586373Column Total1572702874682915352008 a. What is the probability that a customer chosen at random is from the West given that he or she has been loyal 1 to 2 years? Round your answer to the nearest thousandth. b. What is the probability that a customer chosen at random has been loyal 5 or more years given that he or she is from the Midwest? Round your answer to the nearest thousandth.

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Description: The following table is based on information from Trends in the United States, published by The Food Marketing Institute, Washington, D.C. The columns represent loyalty (in years) at a primary supermarket. The rows represent regions of the United St

A: West B: Loyal 1 to 2 years P(A|B) = P(A∩B)P(B) P(A|B) = 56270 =0.2074

Answered: a. What is the probability that a…

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The following table is based on information from Trends in the United States, published by The Food Marketing Institute, Washington, D.C. The columns represent loyalty (in years) at a primary supermarket. The rows represent regions of the United States.

	Less Than 1 Year	1 – 2 Years	3 – 4 Years	5 – 9 Years	10 – 14 Years	15 or More Years	Row Total
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 is from the West given that he or she has been loyal 1 to 2 years? Round your answer to the nearest thousandth.

b. What is the probability that a customer chosen at random has been loyal 5 or more years given that he or she is from the Midwest? Round your answer to the nearest thousandth.

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