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 2851 applications for early admission. Of this group, it admitted 1033 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 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 E, R, and D represent the events that a student who applies for early admission is admitted early, rejected outright, or deferred to the regular admissions pool. Answer questions 3-5.

MATLAB: An Introduction with Applications
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Chapter1: Starting With Matlab
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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 2851 applications for early admission. Of this
group, it admitted 1033 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
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 E, R, and D represent the
events that a student who applies for early admission is admitted early,
rejected outright, or deferred to the regular admissions pool. Answer
questions 3-5.
Transcribed Image Text: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 2851 applications for early admission. Of this group, it admitted 1033 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 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 E, R, and D represent the events that a student who applies for early admission is admitted early, rejected outright, or deferred to the regular admissions pool. Answer questions 3-5.
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?
Transcribed Image Text: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?
Expert Solution
Step 1

Let E: represent the events that a student who applies for early admission is admitted= 1033

Let R: represent a student who applies for early admission is rejected=854

Let D: represent the event a student who applies for early admission is deferred to the regular admission pool=964

The total number of admissions is, N=1033 +854 +964 = 2851

Total Class size = 2375

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