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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

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. What percentage of students scored less than 60 on the exam?
  2. What percentage of students scored more than a 65 on the exam?
  3. If a student scored an 86 on the exam, did they score in the top 15% of scores? Show your work for how you determined.

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