Chapter 17, Problem 47E

Exercises 45 through 48 refer to the following: As part of a research project, the blood pressures of 2000 patients in a hospital are recorded. The systolic blood pressures (given in millimeters) have an approximately normal distribution with mean $\mu =125$ and standard deviation $\sigma =13$.

For each of the following blood pressures, estimate the corresponding percentile.

a. 112 millimeters

b. 138 millimeters

c. 164 millimeters