Bright Electronics is a manufacturer of television sets with a mean life of 9 years and a standard deviation of 2 years. The company will replace a television if it fails before 5 years.

The company sold 7,000 television sets. Assuming that the television sales follow a normal distribution, solve the following with managerial implications:

1. Expected television sets to be replaced?

2. Proportion of the television sets will have a life between 11 to 13 years?

3. Proportion of the television sets will have a life of less than 7 years?

4. If a television set needs to be in the top 3% of the performance, what should be the life of the television?

5. If the company decides to replace only 1% of the television sets, what should be the minimum life of the television?

6. Proportion of the television sets with life between 9 years and 12 years?