Question

The average birth weight of elephants is 200 pounds. Assume that the distribution of birth weights is Normal with a standard deviation of 60 pounds. Find the birth weight of elephants at the 85th percentile.
The birth weight of elephants at the 85th percentile is __ pounds
(round to the nearest integer as needed)

Answer 1

The birth weight of elephants at the 85th percentile is 262.16 pounds

What is the standard deviation?

Standard deviation is defined as the amount of variation or the deviation of the numbers from each other.

Given that:-

The average birth weight of elephants is 200 pounds    $\mu$ = 200

The deviation of 60 pounds.                                              $\sigma$ = 60

The birth weight of elephants at the 85th percentile.      z = 85%= 1.036

Now from the formula of z-score:-

$z=\dfrac{x-\mu}{\sigma}\\\\\\z=\dfrac{x-200}{60}\\\\\\1.036\times 60=x-200\\\\\\x=\ \ 262.16\ pounds$

Hence the birth weight of elephants at the 85th percentile is 262.16 pounds

To know more about standard deviation follow

brainly.com/question/475676

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