Diameter of an electric cable is normally distributed with a mean f 0.8 with a standard deviation of 0.01. What is the probability that the diameter will exceed 0.83?

1 answer

The beauty of the following applet is that you don't even have to convert to z-scores
http://davidmlane.com/hyperstat/z_table.html

Just enter .8 as the mean and .01 as the standard deviation.
Click on "above" and enter .83 to get
.001350

or
you could find the z-scores.
it it easy to see that .83 would be exactly 3 SD's from the mean of 0,
if you enter mean=0, SD = 1, "above" =3 you will get the same result
Or
go to whatever chart you are using, and look up under a score of 3.0, your result should also be .00135