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HELP PLEASE
The mean gas mileage for cars driven by the students at Chillville High School is 28.0 miles per gallon, and the standard deviation is 4.0 miles per gallon. Assume that the gas mileages are normally distributed.

What percent of the cars driven by the students at Chillville have gas mileages between 24.0 and 32.0 miles per gallon?
68%
95%
32.8%
34%

Respuesta :

Using the Empirical Rule, it is found that 68% of the cars driven by the students at Chillville have gas mileages between 24.0 and 32.0 miles per gallon.

What is the Empirical Rule?

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 28 mpg and the standard deviation of 4 mpg, we have that 24.0 and 32.0 mpg is within 1 standard deviation of the mean, hence the percentage is of 68%.

More can be learned about the Empirical Rule at https://brainly.com/question/24537145

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