Academic degrees and gender. Here are the projected numbers (in thousands) of earned degrees in the United States in the 2010-2011 academic year, classified by level and by the gender of the degree recipient:
|
|
Bachelor's
|
Master's
|
Professional
|
Doctorate
|
|
Female
|
933
|
402
|
51
|
26
|
|
Male
|
661
|
260
|
44
|
26
|
(a) Convert this table to a table giving the probabilities for selecting a degree earned and classifying the recipient by gender and degree.
(b) If you choose a degree recipient at random, what is the probability that the person you choose is a woman?
(c) What is the conditional probability that you choose a woman given that the person chosen received a professional degree?
(d) Are the events "choose a woman" and "choose a professional degree recipient" independent? How do you know?