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The Admissions Office of a Community College in Indiana Is

Question 39

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The admissions office of a community college in Indiana is asked to accept deposits from a number of qualified prospective freshmen so that, with probability about 0.95, the size of the freshmen class will be less than or equal to 150. Suppose the applicants constitute a random sample from a population of applicants, 80% of whom would actually enter the freshmen class if accepted.
How many deposits should the admissions counselor accept?
______________
If applicants in the number determined in part (a) are accepted, what is the probability that the freshmen class size will be less than 135?
______________

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