2. Assume the body temperature of a healthy population follows a Normal distribution, with mean 98.6 (F) and standard deviation 0.8 (F). Let X denote the body temperature of a randomly chosen person.

(a) Use the Standard Normal Table (Table A of our textbook) to find out the probability that X falls within 1 standard deviation of the mean. Similarly, find out the probability that X falls within 2, and 3 standard deviations of the mean, respectively. (Sketch the normal density curve, and compare your numerical results to the 68-95-99.7 rule).

(b) The top 15% of people with the highest body temperatures have temperature above what value?