Question

Project: Probabilities of Normal Distributions

Background

Our bodies produce heat from the work of keeping us alive. This heat is known as the body temperature, which is continuous and approximately normally distributed. The previous standard for a healthy body temperature was 98.6 F. However, the current average body temperature for a healthy human is 98.2 F, with a population standard deviation of 0.75 F.

Part 1: Single Subject (10 points)

1. What is the probability of selecting a person who has a healthy body temperature (between 97 F and 100 F)?
2. What is the probability of selecting someone who has a body temperature of at least 100 F?
3. Find and interpret P(X<98.6)
4. Take your body temperature (in degrees Fahrenheit) and state it:
   1. Use your body temperature from above to find your percentile for body temperature.
   2. Interpret the percentile value you found above.

Answer 1