(See Solution) Test Scores. Scores on a 100-point final exam administered to all calculus classes at a large university are normally distributed with a mean of


Question: Test Scores. Scores on a 100-point final exam administered to all calculus classes at a large university are normally distributed with a mean of $72.3$ and a standard deviation of $28.65$. What percentage of students taking the test made

  1. a score between 60 and 80 ?
  2. a score of at least $90 ?$
  3. a score that was more than one standard deviation away from the mean?
  4. At what score was the rate of change of the probability density function for the scores a maximum?

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