Quiz 4 Quantitative Methods Here are the counts (in thousands) of earned degrees in the United States in the 2001-2002 academic year, classified by level and by the gender of the degree recipient: Female Male Total Bachelor's 645 505 Master's 227 161 Professional Doctorate 32 40 Total 922 732 1654 18 26 11503887244 (a) If you choose a degree recipient at random, what is the probability that the person you choose is a woman? (b) What is the conditional probability that you choose a woman, given that the person chosen received a professional degree? (c) Are the events "choose a woman" and "choose a professional degree recipient" independent? How do you know