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Problem

A set of elementary school student heights are normally distributed with a mean of 105 centimeters and a standard deviation of 10 centimeters. Faisal is an elementary school student with a height of 103, point, 1 centimeters.
What proportion of student heights are lower than Faisal's height?
Give your answer correct to four decimal places.
  • Your answer should be
  • an integer, like 6
  • a simplified proper fraction, like 3, slash, 5
  • a simplified improper fraction, like 7, slash, 4
  • a mixed number, like 1, space, 3, slash, 4
  • an exact decimal, like 0, point, 75
  • a multiple of pi, like 12, space, p, i or 2, slash, 3, space, p, i