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Z-scores 3

A set of average city temperatures in October are normally distributed with a mean of 20.6∘C20.6 ^\circ \text{C} and a standard deviation of 2∘C2 ^\circ \text{C}.
What proportion of temperatures are between 18∘C18^\circ \text{C} and 20.6∘C20.6^\circ \text{C}?
Give your answer correct to four decimal places.
  • Your answer should be
  • an integer, like 66
  • a simplified proper fraction, like 3/53/5
  • a simplified improper fraction, like 7/47/4
  • a mixed number, like 1 3/41\ 3/4
  • an exact decimal, like 0.750.75
  • a multiple of pi, like 12 pi12\ \text{pi} or 2/3 pi2/3\ \text{pi}