Assume that human body temperatures are normally distributed with a mean of 98

Assume that human body temperatures are normally distributed with a mean of 98.20ºF and a standard deviation of 0.62 ºF.

a. Bellevue Hopistal in New York uses 100.6ºF as the lowest temperature considered to be a fever. What percentage of normal and healthy persons would be considered to have a fever? Does this percentage suggest that a cutoff of 100.6ºF is appropriate?

b. Physicians want to select a minimum temperature for requiring further medical tests. What should that temperature be, if we want only 5.0% of healthy people to exceed it? (Such a result is a false positive, meaning that the test result is positive but the subject is not really sick.)