Question: The replacement times for TV sets are normally distributed with a mean of 8.2 years and a standard deviation of 1.1 years (based on data from “Getting Things Fixed,” Consumer Reports).

a) Find the probability that a randomly selected TV set will have a replacement time less than 6.0 years. ( 0.35 point)

b) Find the probability that a randomly selected TV set will have a replacement time between 7.1 and 9.3 years. ( 0.40 point)

c) If you want to provide a warranty so that only 1% of the TV sets will be replaced before the warranty expires, what is the time length of the warranty? (0.60 point)