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ACT Scores

In a recent year, the ACT scores for high school students with a 3.50 to 4.00 grade point average were normally distributed, with a mean of 24.2 and a standard deviation of 4.3.  A student with a 3.50 to 4.00 grade point average who took the ACT during this time is randomly selected.

  1. Find the probability to three significant figures that the student's ACT score is less than 17.  

  2. Find the probability to three significant figures that the student's ACT score is between 20 and 29.  

  3. Find the probability to three significant figures that the student's ACT score is more than 32.  
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