Based on data from the National Health Survey, women 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 women between the ages of 18 to 24 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 130. _______

b. If 40 women from this population are randomly selected, find the probability that their mean systolic blood pressure is greater than 130. _____

c. If the sample were four women between the ages of 18 to 24 and we did not know the original distribution, could the central limit theorem be used? _____

Options:

a =.1230; b= almost 0, c= No

a =.1230; b= almost 0, c= Yes

a =.3457; b= 0.006, c= No