A selective college would like to have an entering class of 1200. Because not all students...
A selective college would like to have an entering class of 1200. Because not all students who are offered admission accept, the college admits more than 1200 students. Past experience shows that about 70% of the students will accept. The college decides to admit 1500 students. Assuming that students make their decision independently, the number who accept, X, has the Bin(1500, 0.70) distribution. If this number is lower than 1200, the college will admit students from its waiting list.What is the mean of the distribution of X - that is, the expected number of students who will accept admission?
Homework Answers
As 
The mean of Binomial (n,p ) is n*p
So the expected number of students who will take admission is 1500*0.70
So, 
So, 1050 students are expected to take admission.
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A selective college would like to have an entering class of
1200. Because not all students...
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(5.20) A selective college would like to have an entering class of 1200 students. Because not all students who are o↵ered admission accept, the college admits more than 1200 students. Past experience shows that about 70% of the students admitted will accept. The college decides to admit 1500 students. Assuming that students make their decisions independently, the number who accept has the B(1500, 0.7) distribution. If this number is less than 1200, the college will admit students from the waiting...
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