Please show work!!! b. What is le P for either business or personal reasons? 29.
ID: 3303575 • Letter: P
Question
Please show work!!!
b. What is le P for either business or personal reasons? 29. High school seniors with strong academic records apply to the nation's most colleges in grcater numbers each year. Because the number of slots remains relatiy stable, some colleges reject more early applicants. Suppose that for a recent admi class, an Ivy League college received 2851 applications for early admission. Of this it admitted 1033 students early, rejected 854 outright, and deferred 964 to the admission pool for further consideration. In the past, this school has admitted 18% of deferred early admission applicants during the regular admission process. Counting students admited early and the students admitted during the regular admission the total class size was 2375. Let E, R, and D represent the events that a student applies for early admission is admitted early. rejected outright, or deferred to the admissions pool a. Use the data to estimate P(E), P(R), and P(D) b. Are events E and D mutually exclusive? Find PE D). 4.4 Conditional Probability 199 For the 2375 students who were admitted, what is the probability that a randomly selected student was accepted during early admission? 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? c. d.Explanation / Answer
A) P(E) = 1033 / 2851
P(R) = 854 / 2851
P(D) = 964 / 2851
B) P(E and D) = 0
So events E and D are mutually exclusive.
C) P(selected student was accepted during early admission) = 0.18
D) P(the student will be admitted for early admission or be deferred and later admitted during the regular admission process) = (1033 + 964 * 18/100) / 2851 = 0.42