I need help sketching this equation

Question

Sketch the region corresponding to the statement P(z>-0.9)

Answer 1

P(z>-.9) = about .81594 = 81.594%

use z tables or a z calculator

graphically that's the area under a normal bell shaped curve

from z=-.9 to z= infinity

shade in all the right half of the area under the curve and a part of the adjoining left side

by the empirical rule, 68% of the area is within 1 standard deviation from the mean, the mean is the middle where z=0. from z=-.9 to z=0 should be shaded in, as it's adjoining the right side area under the curve.

half of 68 = 34. .34 +.5 = .84 = about the area you need, but slightly more than you need, as .9 is slightly less than 1.0