High schoor 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 3000 applications for early admission of this group, it admitted 1000 students early, rejected 500 outright, and deferred 1500 to the regular admissions pool for further consideration. In the past, this school has admitted 20% 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 2500. Let E, R, and represent the events that a student who applies for early admission is admitted early, rejected outright, or deferred to the regular admissions pool. If your answer is zero, enter "O". 1. Use the data to estimate P(E), P(R), and P(D): P(E) - (to 4 decimals) P(R) - (to 4 decimals) P(D) - (to 1 decimals) 2. Are events E and D mutually exclusive?Type "Yes" or "No" 3. Find PCE interesection D) 4. For the 2500 students who were admitted, what is the probability that a randomly selected student was accepted for early admission (to 1 decimals)? 5. 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 (to 4 decimals)