Question: Question One - The grades on a math midterm at Harvard University are normally distributed with a mean of 70 and a population standard deviation

Question One -

The grades on a math midterm at Harvard University are normally distributed with a mean of 70 and a population standard deviation of 5.5. Show your work.

1. Find the z-score for a person who scored a 90 on the exam. Interpret the z-score.

2. What percentage of students scored between a 65 and 85 on the exam?

3. What proportion of students scored between an 80 and 95 on the exam?

4. What percentage of students scored more than an 85 on the exam?

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