5.32 Admitting students to college. A would like to have an entering class of 900 students. Because not all students who are offered admission accept, the college admits more than 900 students. Past experience shows that about 78% of the students admitted will accept. The college decides to admit 1150 students. Assuming that students make their decisions independently, the number who accept has the B(1150, 0.78) distribution. If this number is less than 900, the college will admit students from its waiting list. college (a) What are the mean and the standard deviation of the number X of students who accept? (b) The college does not want more than 900 students. Use the Normal approximation to find the probability that more than 900 students accept. (c) If the college decides to decrease the number of admission offers to 1100, what is the probability that more than 900 will accept? (d) Based on your answers to parts (b) and (c), should the college admit 1100 or 1150 students? Explain your answer.

MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
icon
Related questions
Question
5.32 Admitting students to college. A selective collee
would like to have an entering class of 900 students.
Because not all students who are offered admission
accept, the college admits more than 900 students.
Past experience shows that about 78% of the students
admitted will accept. The college decides to admit
1150 students. Assuming that students make their
decisions independently, the number who accept has the
B(1150, 0.78) distribution. If this number is less than
900, the college will admit students from its waiting list.
aily
5.
(a) What are the mean and the standard deviation of the
number X of students who accept?
(b) The college does not want more than 900 students.
Use the Normal approximation to find the probability
that more than 900 students accept.
(c) If the college decides to decrease the number of
admission offers to 1100, what is the probability that
more than 900 will accept?
(d) Based on your answers to parts (b) and (c), should
the college admit 1100 or 1150 students? Explain your
ou
answer.
Transcribed Image Text:5.32 Admitting students to college. A selective collee would like to have an entering class of 900 students. Because not all students who are offered admission accept, the college admits more than 900 students. Past experience shows that about 78% of the students admitted will accept. The college decides to admit 1150 students. Assuming that students make their decisions independently, the number who accept has the B(1150, 0.78) distribution. If this number is less than 900, the college will admit students from its waiting list. aily 5. (a) What are the mean and the standard deviation of the number X of students who accept? (b) The college does not want more than 900 students. Use the Normal approximation to find the probability that more than 900 students accept. (c) If the college decides to decrease the number of admission offers to 1100, what is the probability that more than 900 will accept? (d) Based on your answers to parts (b) and (c), should the college admit 1100 or 1150 students? Explain your ou answer.
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 2 steps

Blurred answer
Similar questions
Recommended textbooks for you
MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
Statistics
ISBN:
9781119256830
Author:
Amos Gilat
Publisher:
John Wiley & Sons Inc
Probability and Statistics for Engineering and th…
Probability and Statistics for Engineering and th…
Statistics
ISBN:
9781305251809
Author:
Jay L. Devore
Publisher:
Cengage Learning
Statistics for The Behavioral Sciences (MindTap C…
Statistics for The Behavioral Sciences (MindTap C…
Statistics
ISBN:
9781305504912
Author:
Frederick J Gravetter, Larry B. Wallnau
Publisher:
Cengage Learning
Elementary Statistics: Picturing the World (7th E…
Elementary Statistics: Picturing the World (7th E…
Statistics
ISBN:
9780134683416
Author:
Ron Larson, Betsy Farber
Publisher:
PEARSON
The Basic Practice of Statistics
The Basic Practice of Statistics
Statistics
ISBN:
9781319042578
Author:
David S. Moore, William I. Notz, Michael A. Fligner
Publisher:
W. H. Freeman
Introduction to the Practice of Statistics
Introduction to the Practice of Statistics
Statistics
ISBN:
9781319013387
Author:
David S. Moore, George P. McCabe, Bruce A. Craig
Publisher:
W. H. Freeman