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The decision about where to build a new plant is a major one for most companies. One of the factors that is often considered is the education level of the location's residents. Census information may be useful in this regard. After analyzing a recent census, a company produced the following joint probabilities: Region Education Northeast Midwest South West Not a high school graduate .021 .022 .053 .032 High school Graduate 062 .075 .118 .058 Some college, no degree .024 .038 .062 .044 Associate's degree .015 022 .032 .022 Bachelor's degree 038 .040 .067 050 Advanced degree .024 .021 .036 .025 Source: Statistical Abstract of the United States, 2012, Table 231. a. Determine the probability that a person living in the West has a bachelor's degree. b. Find the probability that a high school graduate lives in the Northeast. c. What is the probability that a person selected at random lives in the South? d. What is the probability that a person selected at random does not live in the South