SOLUTION: About _______% of the area under the curve of the standard normal distribution is outside the interval z=[−1.25,1.25] (or beyond 1.25 standard deviations of the mean). Round the

Algebra ->  Probability-and-statistics -> SOLUTION: About _______% of the area under the curve of the standard normal distribution is outside the interval z=[−1.25,1.25] (or beyond 1.25 standard deviations of the mean). Round the       Log On


   

Question 1195480: About _______% of the area under the curve of the standard normal distribution is outside the interval z=[−1.25,1.25] (or beyond 1.25 standard deviations of the mean). Round the percentage to a whole number.
Answer by ikleyn(52879) About Me  (Show Source):
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About _______% of the area under the curve of the standard normal distribution
is outside the interval z=[−1.25,1.25] (or beyond 1.25 standard deviations of the mean).
Round the percentage to a whole number.
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The normal distribution curve is a bell shaped curve.

The question is to determine the area under the normal distribution curve outside the interval [-1.25,1.25].


Go to website

https://onlinestatbook.com/2/calculators/normal_dist.html

and use free of charge online calculator specially intended for this purpose.


Input  0  in the port window  " Mean ";

input  1  in the port window     " SD ";        ( <<<---=== SD means "standard deviation" )

input numbers  -1.25  and 1.25 in the port windows  " OUTSIDE ".

Then click the button  " Recalculate ".


You will get the  highlight%28highlight%28ANSWER%29%29  0.2113  in the window  " Area  (probability) ".


The shaded area in the plot shows you the area of the interest.


Rounding to the whole percent gives the answer 21%.


Every time as you get similar problem,  you can solve it this way.


This way is the easiest and shortest way to learn the subject.


When you learn the subject enough,  you will be ready and may start learning other ways.


. . . . . . . . . . . .


On HOW TO do it using pocket calculator, see this video lesson

https://www.youtube.com/watch?v=IyEKEL9nm28

and/or many other video lessons, which you can find in the Internet.