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The University of Utah admits 83% of all first year applicants. If I take a simple...

The University of Utah admits 83% of all first year applicants. If I take a simple random sample of 400 first year applicants to the University of Utah, and let pb be the percentage of students accepted among there 400 applicants.

(a) (5 points) By C.L.T, what is the distribution of pb?

(b) (5 points) What is the chance that there are more than 85% applicants are accepted?

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