1. Wine Spectator rates wines on a point scale of 0 to 100. It can be inferred from the many ratings in this magazine that the average rating is 87 and the standard deviation is 3 points. Wine ratings seem to follow a normal distribution. In the May 15, 2007, issue of the magazine, the burgudy Domaine des Perdrix received a rating of 89.2 What is the probability that a randomly chosen wine will score this high or higher?
2. The weights of domestic, adult cats are normally distributed with a mean of 10.42 pounds and a standard deviation of 0.87 pounds. A cat food manufacturer sells three types of foods for underweight, normal, and overweight cats. The manufacturer considers the bottom 5% of the cats underweight and the top 10% overweight. Compute what weight range must be speci?ed for each of the three categories.