11. The operating life on a "Play All Day" video game is normally distributed with a mean of 48

months and a standard deviation of 6 months. The manufacturer will replace any games that

malfunction during the guarantee period. (show all work)

1. a) How long should the guarantee period run if the manufacturer does not want to replace more than 6% of the games?

12. The heights of women are normally distributed with a mean of 63.6 inches and a standard deviation of 2.5 inches.

(show all work)

1. a) If an individual woman is randomly selected, what is the probability that she has a height between 63 and 65 inches?
2. b) If 100 women are randomly selected, find the probability that they have a mean height greater than 64 inches.
3. c) If 75 women are randomly selected, find the probability that they have a mean height less than 62.1 inches.
4. d) To be considered extremely tall, a woman's height must fall in the top 2% for all heights of women. What is the benchmark height for this designation?
5. e) To be considered extremely short, a woman's height must fall in the bottom 2% for all heights of women. What is the benchmark height for this designation?