Answer to Question #242737 in Statistics and Probability for Kent

Question

The body temperature of a group of healthy adults have a bell shaped distribution with a mean of 98.37 and a standard deviation of 0.53. Using the empirical rule, find each approximate percentage.

Answer 1

a) $P(97.84<X<98.90)=P(\mu-\sigma<X<\mu+\sigma)=68\%.$

b) $P(96.78<X<99.96)=P(\mu-3\sigma<X<\mu+3\sigma)=99.7\%.$