A small liberal arts college receives applications for admission from 1000 high school seniors. The college...
A small liberal arts college receives applications for admission from 1000 high school seniors. The college has dormitory space for a freshman class of 100 students and will have to arrange for off-campus housing for any additional freshman. In previous years, an average of 60 percent of students that the college has accepted have elected to attend another school. Clearly the college should accept more than 100 students, but its administration does not want to take too big a chance that it will have to accommodate more than 100 students. After some deliberate, the administration decide to accept 225 students.
a. How many freshmen do you expect that the college will have to accommodate? Explain your answer
b. What is the probability that the college will have to arrange for some freshmen to live off-campus? Explain your answer
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A small liberal arts college receives applications for admission
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