13.37 College Degrees. A striking trend in higher education is that more women than men reach each level of attainment. The National Center for Education Statistics (which classifies all subjects as male or female) provides projections for the number of degrees earned, classified by level and by the sex of the degree recipient. Here are the projected number of earned degrees (in thousands) in the United States for the 2027-28 academic year: 19 Female Male Total Associate's 653 411 1064 Bachelor's 1106 816 1922 Master's 473 340 813 Doctorate 101 90 191 Total 2333 1657 3990 a. If you choose a degree recipient at random, what is the probability that the person you choose is a man? b. What is the conditional probability that you choose a man, given that the person chosen received a master's? c. Are the events "choose a man" and "choose a master's degree recipient" independent? How do you know?

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