normal distribution,

Question

In a normal distribution, find ? when ? =110 and 4.56% of the area lies to the

Answer 1

110 = ? 4.56% lies to the right or left?

normal distribution

empirical rule has 2 1/2 % to the left or right of z = -2 or z = 2

so for the posted problem absolute value of x is less than 2

use z tables, and it comes up as 1.999

z = 1.999 = (110 - mean)/sd

then 110 = mean + 1.999sd