Systolic blood pressure for women between the ages of 18 and 24 is normally distributed with a mean of 114.8 (millimeters of mercury) and a standard deviation of 13.1.
a. What is the likelihood that an individual woman has a blood pressure above 125?
b. Suppose a random sample of n = 300 women is selected and the mean blood pressure for the sample is computed. What is the likelihood that the mean blood pressure for the sample will be above 125?
c. Suppose a random sample of n = 300 women is selected and the mean blood pressure for the sample is computed. What is the likelihood that the mean blood pressure for the sample will be below 114?