Aamco Heating and Cooling, Inc., advertises that any customer buying an air conditioner during the first 16 days of July will receive a 25 percent discount if the average high temperature for this 16-day period is more than five degrees above normal.
a. If daily high temperatures in July are normally distributed with a mean of 84 degrees and a standard deviation of 8 degrees, what is the probability that Aamco Heating and Cooling will have to give its customers the 25 percent discount?
b. Based on the probability you computed in part a, do you think that Aamco's promotion is ethical? Write a paragraph justifying your opinion.