The American Council of Education reported that 47% of college freshmen earn a degree and graduate within five years (Associated Press, May 6, 2002). Assume that graduation records show women make up 50% of the students who graduated within five years, but only 45% of the students who did not graduate within five years. The students who had not graduated within five years either dropped out or were still working on their degrees.
a. Let A1 the student graduated within five years A2 the student did not graduate within five years 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 will graduate within five years?
c. What is the probability that a male student will graduate within five years?
d. Given the preceding results, what are the percentage of women and the percentage of men in the entering freshman class?