College degrees. Here are the counts (in thousands) of earned degrees in theUnited

Chapter 0, Problem 12.41

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College degrees. Here are the counts (in thousands) of earned degrees in theUnited States in the 20052006 academic year, classified by level and by the sexof the degree recipient:7Bachelors Masters Professional Doctorate TotalFemale 784 276 39 20 1119Male 559 197 44 25 825Total 1343 473 83 45 1944(a) If you choose a degree recipient at random, what is the probability that theperson you choose is a woman?(b) What is the conditional probability that you choose a woman, given that theperson chosen received a professional degree?(c) Are the events choose a womanand choose a professional degree recipientindependent? How do you know?

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