Answered

Discover a wealth of knowledge at Westonci.ca, where experts provide answers to your most pressing questions. Explore a wealth of knowledge from professionals across different disciplines on our comprehensive platform. Get quick and reliable solutions to your questions from a community of experienced experts on our platform.

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

#SPJ1

We appreciate your visit. Hopefully, the answers you found were beneficial. Don't hesitate to come back for more information. Thank you for your visit. We're dedicated to helping you find the information you need, whenever you need it. Westonci.ca is your go-to source for reliable answers. Return soon for more expert insights.