Using the Central Limit Theorem · Try It 3

Based on data from the National Health Survey, females between the ages of 18 and 24 have an average systolic blood pressures (in mm Hg) of 114.8 with a standard deviation of 13.1. Systolic blood pressure for females between the ages of 18 to 24 follow a normal distribution.

(a) If one female from this population is randomly selected, find the probability that their systolic blood pressure is greater than 120.
(b) If 40 females from this population are randomly selected, find the probability that their mean systolic blood pressure is greater than 120.
(c) If the sample were four females between the ages of 18 to 24 and we did not know the original distribution, could the central limit theorem be used?

Its source prints no answer for this problem, so there's nothing to check against.

OpenStax, Introductory Statistics 2e · §7.3 Using the Central Limit Theorem · Try It 3