Answered

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The heights of 150 oak trees are normally
distributed with a mean of 84 feet and a
standard deviation of 3 feet. about how
many trees fall within two standard
deviations of the mean?

Sagot :

Using the Empirical Rule, it is found that about 143 trees fall within two standard deviations of the mean.

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.

95% of the measures are within 2 standard deviations of the mean, hence, out of 150 trees, the amount is:

A = 0.95 x 150 = 142.5, rounded to 143.

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

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