1. The impact of a television commercial, measured in terms of excess sales volume over a given period, is believed to be approximately normally distributed with mean 50,000 and variance 9,000,000. Find 0.99 probability bounds on the volume of excess sales that would result from a given airing of the commercial.
2. A travel agency believes that the number of people who sign up for tours to Hawaii during the Christmas-New Year's holiday season is an approximately nor- mally distributed random variable with mean 2,348 and standard deviation 762. For reservation purposes, the agency's management wants to ?nd the number of people such that the probability is 0.85 that at least that many people will sign up. It also needs 0.80 probability bounds on the number of people who will sign up for the trip.