Use a z-table to find the probability of a particular measurement.

Problem

A set of biology exam scores are normally distributed with a mean of 60 points and a standard deviation of 6 points. Antoaneta got a score of 51 points on the exam.
What proportion of exam scores are higher than Antoaneta's score?
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