6.90 Normal Temperatures In Exercise 1.68, Allen Shoemaker derived a distribution of human body temperatures, which has a distinct mound-shape. Suppose we assume that the temperatures of healthy humans is approximately normal with a mean of 37.1 C and a standard deviation of 0.2 degrees.

a. If a healthy person is selected at random, what is the probability that the person has a temperature above 37.22 C?

b. What is the 95th percentile for the body tempera- tures of healthy humans?