A certain dataset of systolic blood pressure measurements has a mean of 80 and a standard deviation of 3. Assuming the distribution is bell shaped and we randomly select a measurement. Required:
a. What percentage of measurements are between 71 and 89?
b. What is the probability a person's blood systolic pressure measures more than 89?
c. What is the probability a person's blood systolic pressure being at most 75?
d. We should expect 15% of patients have a blood pressure below what measurement?
e. Would it be unusual for 3 patients to have a mean blood pressure measurement of more than 84? Explain.