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:

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 theSouth?

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Region Education Northeast Midwest South West Not a high school graduate High school 021 .022 053 032 graduate Some college, 062 .075 118 .058 no degree Associate's degree Bachelor's degree Advanced degree 024 .015 .038 024 038 .062 044 022 040 .021 032 .022 067 050 036 .025