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Exam scores are a key measure for evaluating student performance. A national education board assesses student achievement by analyzing scores from a standardized test. In 2023, the scores of all students in a particular grade were normally distributed with a mean of 75 points and a standard deviation of 5 points.
Using this information, calculate the following probabilities or values for the students' scores:
The percentage of students with scores between 70 and 75 points.
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The percentage of students with scores between 65 and 75 points.
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\(\pourcent\)
The percentage of students with scores less than 80 points.
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\(\pourcent\)
In 2024, if there were 600 students in this grade, estimate the number of students with scores between 70 and 85 points (round to the nearest integer).
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students
For a normal distribution, the coverage probabilities are illustrated below:
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