SOLUTION: About what% of the area under the curve of the standard normal distribution is outside the interval z=[−2.31,2.31](or beyond 2.31 standard deviations of the mean).

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Question 1176361: About what% of the area under the curve of the standard normal distribution is outside the interval z=[−2.31,2.31](or beyond 2.31 standard deviations of the mean).
Answer by ewatrrr(24785)   (Show Source): You can put this solution on YOUR website!

Hi
Previously submitted.
Normal distribution:
Using TI or similarly an inexpensive Casio fx-115 ES plus:
area under the standard normal distribution curve(continuous) is the same as
the Probability of the given z-score:
 P( |z| ≤ -2.31) is 2P(z ≤ -2.31) = 2(.0104)  = .0208
or 
 P( |z| ≤ -2.31) = 1 - P( -2.31 ≤  z ≤  2.31) = 1 - normalcdf(-2.31,2.31)
Wish You the Best in your Studies.
Shown below is the positioning of |z| = 2.31 on the Standard Normal Curve

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