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All applicants at a large university are required to take a special entrance exam before they are admitted. The exam scores are known to be

All applicants at a large university are required to take a special entrance exam before they are admitted. The exam scores are known to be normally distributed with a mean of 800 and a standard deviation of 100. Applicants must score 700 or more on the exam before they are admitted.

A. What proportion of all applicants taking the exam is granted admission?

B. What proportion of all applicants will score 1000 or higher on the exam?

C. For the coming academic year, 2500 applicants have registered to take the exam. How many do we expect to be qualified for admission to the university?

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