Based on data from the National Health Survey, women between the ages of 18and 24have an average systolic blood pressures (in mm Hg) of 114.8 with a standard deviation of 13.16. Systolic blood pressure for women between the ages of 18to 24follow a normal distribution.

(a) If one woman from this population is randomly selected, find the probability that her systolic blood pressure is greater than 118. Round your answer to four decimal places. P(x>118)=

(b) If 55 women from this population are randomly selected, find the probability that their mean systolic blood pressure is greater than 118. Round your answer to four decimal places. P(x>118)=