Relationships of Probability

Question

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. The University of Pennsylvania received 2851 applications for early admission. Of this group, it admitted 1033 students early, rejected 854 outright, and deferred 964 to the regular admission pool for further consideration. In the past, Penn has admitted 18% of 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 (USA Today, January 24, 2001). Let E, R, and D represent the events that a student who applies for early admission is admitted early, rejected outright, or deferred to the regular admissions pool.

Use the data to estimate P ( E )P(E) , P ( R )P(R) , and P ( D )P(D).

Answer 1

Hi Vi,

Not sure I understand the double listing there, are we looking for P(E), P(R) and P(D) or something else?

Anyway:

P(E)=number admitted early/total early applicants

P(E)=1033/2851=0.362

P(R)=Number rejected outright/total early applicants

P(R)=854/2851=0.300

P(D)=Number deferred/total early applicants

P(D)=964/2851

P(D)=0.338

Not sure if this is what you were looking for, but I hope it helps.