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Sagot :
Using the Empirical Rule, it is found that there is a 68% probability that a student scored between 66 and 82.
What does the Empirical Rule state?
It states that, for a normally distributed random variable:
- Approximately 68% of the measures are within 1 standard deviation of the mean.
- Approximately 95% of the measures are within 2 standard deviations of the mean.
- Approximately 99.7% of the measures are within 3 standard deviations of the mean.
In this problem, considering the mean of 74 and the standard deviation of 8, we have that:
74 - 8 = 66
74 + 8 = 82.
Hence, there is a 68% probability that a student scored between 66 and 82.
More can be learned about the Empirical Rule at https://brainly.com/question/24537145
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