The Commission of Education reported that 47% of college freshmen earn a degree and graduate within 5 years. Assume that the graduation records show that women make up 50% of the students who graduated within 5 years, but only 45% of the students who did not graduate within 5 years. The students who had not graduated within 5 years either dropped out or were still working on their degrees. a. Let A1 = the student graduated within 5 years A2 = the student did not graduate within 5 years W = the student is a female student Using the given information, what are the values for P(A1), P(A2), P(W ǀ A1) and P(W ǀ A2)? P(A1) = ____________ P(W ǀ A1) = _______ P(A2) = ____________ P(W ǀ A2) = _______ b. What is the probability that a female student will graduate within 5 years? Identify the values of the following: P(A1) P(W/A1) P(A1 ∩ W) P(A1/W) P(A2) P(W/A2) P(A2 ∩ W) P(A2/W) P(W) = _______ c. What is the probability that a male student will graduate within 5 years? d. Given the preceding results, what are the percentage of women and the percentage of men in the entering freshmen class? % of women: % of men:
The Commission of Education reported that 47% of college freshmen earn a degree and graduate within 5 years. Assume that the graduation records show that women make up 50% of the students who graduated within 5 years, but only 45% of the students who did not graduate within 5 years. The students who had not graduated within 5 years either dropped out or were still working on their degrees.
a. Let A1 = the student graduated within 5 years
A2 = the student did not graduate within 5 years
W = the student is a female student
Using the given information, what are the values for P(A1), P(A2), P(W ǀ A1)
and P(W ǀ A2)?
P(A1) = ____________ P(W ǀ A1) = _______
P(A2) = ____________ P(W ǀ A2) = _______
b. What is the probability that a female student will graduate within 5 years?
Identify the values of the following:
P(A1)
P(W/A1)
P(A1 ∩ W)
P(A1/W)
P(A2)
P(W/A2)
P(A2 ∩ W)
P(A2/W)
P(W) = _______
c. What is the probability that a male student will graduate within 5 years?
d. Given the preceding results, what are the percentage of women and the
percentage of men in the entering freshmen class?
% of women:
% of men:
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