4. The Commission on Higher Education reported that 47% of college freshmen earn adegree and graduate within 5 years. Assume that the graduation records show thatwomen make up 50% of the students who graduated within 5 years, but only 45% of thestudents who did not graduate within 5 years. The students who had not graduated within5 years either dropped out or were still working on their degrees.a. Let A, the student graduated within 5 yearsA2 = the student did not graduate within 5 yearsW = the student is a female studentUsing 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)EventsA₁A₂P(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 thepercentage of men in the entering freshmen class?% of women:% of men:

The following solution is provided below :

Answered: 4. The Commission on Higher Education…

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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