Bachelors degrees by gender. Of the 2,325,000 bachelors,

Chapter , Problem 4.145

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Bachelors degrees by gender. Of the 2,325,000 bachelors, masters, and doctoral degrees given by U.S. colleges and universities in a recent year, 69% were bachelors degrees, 28% were masters degrees, and the rest were doctorates. Moreover, women earned 57% of the bachelors degrees, 60% of the masters degrees, and 52% of the doctorates.22 You choose a degree at random and find that it was awarded to a woman. What is the probability that it is a bachelors degree? 4.146 Higher education at two-year and four-year institutions. The following table gives the counts of U.S. institutions of higher education classified as public or private and as two-year or four-year:23 Public Private Two-year 1000 721 Four-year 2774 672 Convert the counts to probabilities and summarize the relationship between these two variables using conditional probabilities.