who are offered admission Because Past experience shows that about 83% of the students accept, the college admits more than 1000 students. admitted will accept. The college decides to admit 1200 students. Assuming that students make their decisions independently, the number who accept has the B(1200, 0.83) distribution. If this number is less than 1000, the college will admit students from its waiting list. (c) The college does not want more than 1000 students. What is the probability that more than 1000 will accept? (d) If the college decides to decrease the number of admission offers to 1150, what is the probability that more than 1000 will accept?

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Author:Amos Gilat
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SO,
5.78 Admitting students to college. A selective college
would like to have an entering class of 1000 students.
Transcribed Image Text:SO, 5.78 Admitting students to college. A selective college would like to have an entering class of 1000 students.
Because not all students who are offered admission
accept, the college admits more than 1000 students.
admitted will accept. The college decides to admit 1200
students. Assuming that students make their decisions
independently, the number who accept has the B(1200,
0.83) distribution. If this number is less than 1000, the
college will admit students from its waiting list.
Ci
(c) The college does not want more than 1000 students.
What is the probability that more than 1000 will accept?
(d) If the college decides to decrease the number of
admission offers to 1150, what is the probability that
more than 1000 will accept?
Transcribed Image Text:Because not all students who are offered admission accept, the college admits more than 1000 students. admitted will accept. The college decides to admit 1200 students. Assuming that students make their decisions independently, the number who accept has the B(1200, 0.83) distribution. If this number is less than 1000, the college will admit students from its waiting list. Ci (c) The college does not want more than 1000 students. What is the probability that more than 1000 will accept? (d) If the college decides to decrease the number of admission offers to 1150, what is the probability that more than 1000 will accept?
Expert Solution
Step 1

c) The value of n is 1200 and the value of p is 0.83.

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