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 ?, ?, and ? represent the events that a student who applies for early admission is admitted early, rejected outright, or deferred to the regular admissions pool. a. Are events E and D mutually exclusive? Find (? ∩ ?) b. 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?
Contingency Table
A contingency table can be defined as the visual representation of the relationship between two or more categorical variables that can be evaluated and registered. It is a categorical version of the scatterplot, which is used to investigate the linear relationship between two variables. A contingency table is indeed a type of frequency distribution table that displays two variables at the same time.
Binomial Distribution
Binomial is an algebraic expression of the sum or the difference of two terms. Before knowing about binomial distribution, we must know about the binomial theorem.
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 ?, ?, and ? represent the
admission is admitted early, rejected outright, or deferred to the regular
admissions pool.
a. Are events E and D mutually exclusive? Find (? ∩ ?)
b. Suppose a student applies for early admission. What is the
the student will be admitted for early admission or be deferred and later
admitted during the regular admission process?
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