Based on data from the National Health Survey, women between the ages of 18and 24have an average systolic blood pressures (in mm Hg) of 115.7 with a standard deviation of 11.54 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 114. Round your answer to four decimal places. P(x>114)=

(b) If 70 women from this population are randomly selected, find the probability that their mean systolic blood pressure is greater than 114. Round your answer to four decimal places. P(x>114)=

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

		Yes
		No