is less than 1000, the college will admit students from its waiting list. (a) What are the mean and the standard deviation of the number X of students who accept? (b) Use the Normal approximation to find the probability that at least 800 students accept.

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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.
(a) What are the mean and the standard deviation of the
number X of students who accept?
Ci
(b) Use the Normal approximation to find the probability
that at least 800 students 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. (a) What are the mean and the standard deviation of the number X of students who accept? Ci (b) Use the Normal approximation to find the probability that at least 800 students accept.
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The value of n is 1200 and the value of p is 0.83.

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