Find the​ Z-score such that the area under the standard normal curve to the right is 0.26.

Question

Find the​ Z-score such that the area under the standard normal curve to the right is 0.26.

Answer 1

If the area to the right is 0.26, then the area to the left is 1 - 0.26 = 0.74.

The z-score corresponding to the cumulative area 0.74 is 0.64335.

Answer 2

if the area to the right of a z score is 0.26

the area to the right of z=0 and the z score is 0.24

double 0.24 = 0.48 < 0.68

by the empirical rule 0.68 is within 1 standard deviation

the z score with 0.26 to the right will be less than z=1

use z tables or a z calculator to get

z=.64335 has an area of 0.26 to the right