z = -3 is what percentile?

Question

z = -3 is what percentile?

 percentile

State your answer to the nearest tenth of a percent.

Answer 1

by the empirical rule 99.7% fall within 3 standard deviations from the mean

(1-.997)/2 fall below a z score of -3

= .003/2 = .0015 with 99.85% above z=-3

percentil = 100%-99.85% = 0.15 percentile

round off to 1/10 and it's 0.2 percentile

that's an approximiation, very close, but

use z tables or a z calculator to get a closer approximation