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Sagot :
Using the Empirical Rule, it is found that 99.7% of his commutes will be between 9 and 33 minutes.
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 a mean of 21 minutes and a standard deviation of 4 minutes, we have that:
- 9 = 21 - 3 x 4.
- 33 = 21 + 3 x 4.
Within 3 standard deviations of the mean, hence, 99.7% of his commutes will be between 9 and 33 minutes.
More can be learned about the Empirical Rule at https://brainly.com/question/24537145
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