According to the Open Doors 2011 Report, 9.5% of all full-time U.S. undergraduate students studied abroad during the 2009-2010 academic year (Institute of International Education, November 14, 2011). Assume that participation records show women make up 60% of the students who studied abroad during the 2009-2010 academic year, but women make up only 49% of the students who didn't participate.
a. Let
A1 = the student studied abroad during the 2009-2010 academic year
A2 = the student did not study abroad during the 2009-2010 academic year
W = the student is a female student
Using the given information, what are the values for P(A1), P(A2), P(W | A1), and P(W | A2)?
b. What is the probability that a female student studied abroad during the 2009-2010 academic year?
c. What is the probability that a male student studied abroad during the 2009-2010 academic year?
d. Given the preceding results, what were the percentage of women and the percentage of men studying full-time during the 2009-2010 academic year?