High school seniors with strong academic records apply to the nation’s most selective colleges in greater numbers each year. Because the num
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.
a. Use the data to estimate P(E),P(R), and P(D).
b. Are events E and D mutually exclusive? Find P(E∩D)
c. For the 2375 students admitted to Penn, what is the probability that a randomly se- lected student was accepted during early admission?
d. Suppose a student applies to Penn for early admission. What is the probability the student will be admitted for early admission or be deferred and later admitted during the regular admission process?