Admitting students to college. A selective college would like to have anentering class

Chapter 0, Problem 17.56

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Admitting students to college. A selective college would like to have anentering class of 1200 students. Because not all students who are offeredadmission accept, the college admits more than 1200 students. Past experienceshows that about 70% of the students admitted will accept. The college decides toadmit 1500 students. Assuming that students make their decisions independently,the number who accept has the B(1500, 0.7) distribution. If this number is lessthan 1200, the college will admit students from its waiting list.(a) What are the mean and the standard deviation of the numberX of studentswho accept?(b) Use the Normal approximation to find the probability that at least 1000students accept.

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