Body temp. mean is 98.20F & standard deviation is 0.62F. Fever is defined at or over 100F. Determine % w/fever

Question

% of people w/fever --- This is Application of Normal Distribution

Answer 1

The fever threshhold is 2.9 standard deviations above the mean. I don't have my probability distribution tables on hand, but I know that it would be around the 99th percentile. Thus, roughly 1% of the population has a fever at any given time. Interesting.

Answer 2

100 - 98.2 = 1.8
stand dev = 0.62
sigma = 0.62^0.5 = 0.7874007874011811019685034448812
1.8 / 0.7874007874011811019685034448812 = 2.28
3 sigma = 2.36
=> ~ 0.25% with fever