Using the Normal Probability Distribution. Replacement times for CD players are normally distributed with mean 7.1 years and standard deviation 1.4 years.(data from Consumer Reports)
In order to plan its future production levels, a company producing CD players needs to analyze the following information.

1. The probability that a randomly selected CD player will have a replacement time less than 8 years.
2. The percentage of CD players expected to need replacement in the next 8 years.
3. The percentage of CD players with replacement time between 6 and 8 years.
4. Which replacement times should be considered unusually long or unusually short?
5. What is the 80th percentile? Provide an interpretation of the result.
6. What are the replacement times that separate the top 2.5% of CD players and the bottom 2.5% of CD players from the rest?
7. If you want to provide a warranty so that only 2% of the CD players will need to be replaced before the warranty expires, what is the time length of the warranty?
Find all the numbers needed above.