Cholesterol levels for women aged 20 to 34 follow an approximately normal distributionwith mean 185 milligrams per deciliter (mg/dl). women with cholesterol levels above 220 mg/dl are consid-ered to have high cholesterol and about 18.5% of women fall into this category. find the standard deviationof this distribution of cholesterol levels for women aged 20 to 34?

The standard deviation of the distribution of cholesterol levels for women aged 20 to 34 is 39.019

Step-by-step explanation:

If women with cholesterol levels above 220 mg/dl are considered to have high cholesterol and about 18.5% of women fall into this category, then

P(X>220)=0.185 From this probability, by looking z-table, z-statistic of a woman who has 220 mg/dl cholesterol level is 0.897.

z score for 220 mg/dl cholesterol level can also be calculated using the formula

z=  where

0.897=  From this equation, we get s=39.019

the graph in the attached figure

step-by-step explanation:

we have

using a graphing tool

the graph in the attached figure

the roots are ( x-intercepts) x=-0.5,x=1,x=3

the y-intercept is the point (0,3)