What is the area under the normal curve to the right of z= 1.35

Question

With illustration of the graph using the standard normal curve

Answer 1

.088508 is the area under the curve to the right of z=1.35

use a z calculator on line, a handheld scientific graphing calculator with statistics functions, or use z tables

using the empirical rule 68-95-99.7 you know 68% are within 1 standard deviation from the mean and 95% is within two standard deviations from the mean

that means .32 are outside 1 standard deviation from the mean and half that, .16 is to the right of z=1

99% are within 2 standard deviations from the mean

with 1% or .01 outside 2 standard deviations from the mean

half that or .005 is to the right of z=2

z=1.35 is between z=1 and z=2, 1<1.35<2,

so the area to the right of z=1.35 is between .16 and .01

.0880508 is between them

.01 <.088 < .16

(.16+.01)/2 = .17/2 = .085