Based on data from the National Health Survey, women between the ages of and have an average systolic blood pressures (in mm Hg) of with a standard deviation of Systolic blood pressure for women between the ages of to follow a normal distribution.
a. If one woman from this population is randomly selected, find the probability that her systolic blood pressure is greater than .
b. If women from this population are randomly selected, find the probability that their mean systolic blood pressure is greater than .
c. If the sample were four women between the ages of to and we did not know the original distribution, could the central limit theorem be used?