High school seniors with strong academic records apply to the nation's most selective colleges in greater numbers each year. Because the number of slots remains relatively stable, some colleges reject more early applicants. Suppose that for a recent admissions class, an Ivy League college received  applications for early admission. Of this group, it admitted  students, early, rejected  outright, and deferred  to the regular admissions pool for further consideration. In the past, this school has admitted  of the applicants in the deferred early admission applicants during the regular admission process. Counting the students admitted early and the students admitted during the regular admission process, the total class size was 2375. Let , , and  represent the events that a student who applies for early admission is admitted early, rejected outright, or deferred to the regular admissions pool.

Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter2: Systems Of Linear Equations
Section2.4: Applications
Problem 28EQ
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High school seniors with strong academic records apply to the nation's most selective colleges in greater numbers each year. Because the number of slots remains relatively stable, some colleges reject more early applicants. Suppose that for a recent admissions class, an Ivy League college received  applications for early admission. Of this group, it admitted  students, early, rejected  outright, and deferred  to the regular admissions pool for further consideration. In the past, this school has admitted  of the applicants in the deferred early admission applicants during the regular admission process. Counting the students admitted early and the students admitted during the regular admission process, the total class size was 2375. Let , , and  represent the events that a student who applies for early admission is admitted early, rejected outright, or deferred to the regular admissions pool.

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