Suppose that the scores, X, on a college entrance examination are normally distributed with a mean score of 560 and a standard deviation of 40. A certain university will consider for admission only those applicants whose scores fall among the top 67% of the distribution of scores. Find the minimum score an applicant must achieve in order to receive consideration for admission to the university.

Question

Mathematics

Cannon Klein

Today, 06:04

Suppose that the scores, X, on a college entrance examination are normally distributed with a mean score of 560 and a standard deviation of 40. A certain university will consider for admission only those applicants whose scores fall among the top 67% of the distribution of scores. Find the minimum score an applicant must achieve in order to receive consideration for admission to the university.

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Answers (1)

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Gavyn Ellison · Answer 1

543

Step-by-step explanation:

The 33rd percentile corresponds to a score of 542.4. In order for a score to be within the top 67%, it must be above that value. The least integer above that value is 543.