Question

Find the indicated area under the curve of the standard normal​ distribution; then convert it to a percentage and fill in the blank. About​ ______% of the area is between z equals minus 2 and z equals 2 ​(or within 2 standard deviations of the​ mean).

Answer 1

About​ 84 % of the area is between z equals minus 2 and z equals 2

Explanation:

A standard normal distribution refers to a normal distribution with a mean of 0 and a standard deviation of 1.

To find the percentage of area that is between -2<z<2, we are going to use a graphic calculator. We get that P(-2<z<2) = 0.84

Therefore, About​ 84 % of the area is between z equals minus 2 and z equals 2