The Commission on Higher 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 A/= 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 | A₁) and P(W I A2)? P(A₁)= P(WA)=. P(A₂)= P(W|A₂)= b. What is the probability that a female student will graduate within 5 years? Events P(A₁) P(W/A₁) P(A/W) A₁ A₂ P(A/W) P(W) = c. What is the probability that a male student will graduate within 5 years? % of men: d. Given the preceding results, what are the percentage of women and the percentage of men in the entering freshmen class? % of women:

A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
Section: Chapter Questions
Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
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4. The Commission on Higher 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 A, 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 A₁)
and P(WIA2)?
P(A)=
P(W|A₁)=
P(W|A₂)=
P(A₂)=
b. What is the probability that a female student will graduate within 5 years?
P(W/A₁)
P(A/W)
P(A/W)
Events
A₁
A₂
P(A₁)
c. What is the probability that a male student will graduate within 5 years?
P(W)=
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:
Transcribed Image Text:4. The Commission on Higher 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 A, 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 A₁) and P(WIA2)? P(A)= P(W|A₁)= P(W|A₂)= P(A₂)= b. What is the probability that a female student will graduate within 5 years? P(W/A₁) P(A/W) P(A/W) Events A₁ A₂ P(A₁) c. What is the probability that a male student will graduate within 5 years? P(W)= 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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