Question

The cholesterol levels of an adult can be described by a normal model with a mean of 197 mg/dL and a standard deviation of 23.

b. What percent of adults do you expect to have cholesterol levels over 200 {SOLUTION} ANSWERED

given : mean (a)-197, standard deviation (σ)-23 formula : Z -μ P(X > 200P 23 = P(Z > 0.13) 0.4481 (from z - table) 1181 from Z table 44.81%

C. What percent of adults do you expect to have cholesterol levels between 170 and 180 mg/dL? *HELP PLEASE

Answer 1

Solution :

Given that ,

mean = = 197

standard deviation = = 23

P(x > 200) = 1 - P(x < 200)

= 1 - P((x - ) / < (200 - 197) / 23)

= 1 - P(z < 0.1304)

= 1 - 0.5519   

= 0.4481

Answer = 44.81%

P(170 < x < 180) = P((170 - 197)/ 23) < (x - ) /  < (180 - 197) / 23) )

= P(-1.174 < z < -0.739)

= P(z < -0.739) - P(z < -1.174)

= 0.3 - 0.1202

= 0.1798

Answer = 17.98%