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 112.8 with a standard deviation of XXXXXXXXXXSystolic blood...

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  112.8  with a standard deviation of  12.59 . 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  111 .

Round your answer to four decimal places.

P(x > 111) = ______

(b) If  60  women from this population are randomly selected, find the probability that their mean systolic blood pressure is greater than  111 .

Round your answer to four decimal places.

P(xˉ>111)= _______

(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?

A.) Yes

B.) No