A striking trend in higher education is that more women than men reach each leve

Question

A striking trend in higher education is that more women than men reach each level of attainment. The National Center for Educational Statistics 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 an academic year Female 603 Male Total Associate's Bachelor's Master's Doctorate Total 2254 1574 3828 1064 804 1868 491 328 819 96 89 185 353 956 (a) If you choose a degree recipient at random, what is the probability that the person you choose is a man? (Round your answer to 4 decimal places.) (b) What is the conditional probability that you choose a man, given that the person chosen received a master's? (Round your answer to 4 decimal places.) (c) Are the events "choose a man" and "choose a master's degree recipient" independent? How do you know? Yes. The two probabilities in (a) and (b) are equal Yes. The two probabilities in (a) and (b) are not equal No. The two probabilities in (a) and (b) are equal No. The two probabilities in (a) and (b) are not equal eBook

Explanation / Answer

a)P(man) =1574/3828=0.4112 (As there are 1574 degree recipients out of 3828)

b) P(man|master's) =328/819 =0.4005

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