Based on data from the National Health Survey, women between the ages of18and24have an average systolic blood pressures (in mm Hg) of114.2with a standard deviation of14.38 Systolic blood pressure for women between the ages of18to24follow a normal distribution.

1. If one woman from this population is randomly selected, find the probability that her systolic blood pressure is greater than114. Round your answer to four decimal places.

P(x > 114)=

(b) If50women from this population are randomly selected, find the probability that their mean systolic blood pressure is greater than114.

Round your answer to four decimal places. P(x > 114)=