2. Suppose that for a recent admissions class, an Ivy League college received 2,851 application for
early admission. Of this group, it admitted 1,033 students early, rejected 854 outright, and deferred
964 to the regular admission pool for further consideration. In the past, this school has admitted
18% of the deferred early admission applications during the regular admission process. Counting the
students admitted early and the students admitted during the regular admission process, the total
class size was 2,375.
Let E, R, and D represent the events that a student who applies for early admission is admitted
early, rejected, outright, or deferred ot 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 \cap D).
C. For the 2,375 students who were admitted, what is the probability that a randomly selected
student was accepted during early admission?
D. Suppose a student applies for early admission. What is the probabilit that the student will be
admitted for early admission or be deferred and later admitted during the regular admission
process?
