Suppose that for a recent admissions class, an Ivy League codlege received 2,795 applications for early admission. Of this group, it admitted 977 students carly. rejected BS4 outright, and deferred 964 to the regular admission pool for further consideration. In the past; thes school has adimitted 184 of the deferred early admission applicants during the regular admission process. Counting the students admitted early and the students admitted during the regular admistion process, the total class size was 2,375 . Let F1R, and D represent the events that a student whe applies for early admission is admitted earfy, refected outright, or deterred to the regular admissions pool. (a) Use the data to estimate P(E),P(R), and P(D). If required, round your answers to four decimal places. P(E)=P(R)=P(D)= (b) Are events E and D mutually exclusive? Find P(ED). If your answer is zero, enter " 0. (c) For the 2,375 students who were admitted, what is the probability that a randomiy selected student was accepted during early admistion? If required, round your answer to four decimal places. (d) Suppose a student applies for early admission. What is the probability that the student will be admitted for early admission or be deferred and later admitted during the regular admission process? if required, round your answer to four decimal places