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Normal distribution: Area between two points

You might need: Calculator,Z table

Problem

A set of history exam scores are normally distributed with a mean of 83.2 points and a standard deviation of 8 points.
What proportion of exam scores are between 82 and 89.2 points?
You may round your answer to four decimal places.
  • Your answer should be
  • an integer, like 6
  • a simplified proper fraction, like 3/5
  • a simplified improper fraction, like 7/4
  • a mixed number, like 1 3/4
  • an exact decimal, like 0.75
  • a multiple of pi, like 12 pi or 2/3 pi