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Readme [11.4K]
3 years ago
6

The scores of a high school entrance exam are approximately normally distributed with a given mean Mu = 82.4 and standard deviat

ion Sigma = 3.3. What percentage of the scores are between 75.8 and 89?
Mathematics
1 answer:
Ahat [919]3 years ago
5 0

Notice that

75.8 = 82.4 - 6.6 = 82.4 - 2 × 3.3

89 = 82.4 + 6.6 = 82.4 + 2 × 3.3

Then the percentage of students with scores between 75.8 and 89 make up the part of the distribution that lies within 2 standard deviations of the mean. The empirical (68-95-99.7) rule says that approximately 95% of any distribution lies within this range.

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