Percentage of person acceptable to the university, Basic Statistics

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Percentage of person acceptable to the university

Assignment:

Assume that the test scores from a college admissions test are normally distributed, with a mean of 450 and a standard deviation of 100.

What percentage of the people taking the test score between 400 and 500?
Suppose someone receives a score of 630. What percentage of the people taking the test score better? What percentage score worse ?
If a particular university will not admit anyone scoring below 480, what percentage of the persons taking the test would be acceptable to the university ?

Provide complete and step by step solution for the question and show calculations and use formulas.

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