Question: Here are the counts (in thousands) of earned degrees in the United States in the 2005-2006 academic year, classified by level and by the sex of the degree recipient:

Female 784 276 39 20 1119

Total 1343 473 83 45 1944

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?