More computers at Princeton An October 2007 census

Chapter 7, Problem 7.64

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More computers at Princeton An October 2007 census revealed that 40% of Princeton students primarily used Macintosh computers (MACs). Th e rest primarily used PCs. At the time of the census, 67% of Princeton students were undergraduates. Th e rest were graduate students. According to the census, 23% of Princetons graduate students said that they used PCs as their primary computers. Suppose that we select a Princeton student at random and learn that the student primarily uses a MAC. Find the probability that this person is a graduate student. Show your work. Conditional probability has important applications in the areas of risk management, drug and disease testing, and quality control in manufacturing. Lets look at a couple of examples that show how an understanding of conditional probability can help people make informed decisions.

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