1. A major television manufacturer has determined that its 50-inch LED televisions have a mean service life that can be modeled by a normal distribution with a mean of six years and a standard deviation of one-half year. What probability can you assign to service lives of at least five years? (Please keep 4 digits after the decimal point.)

2. A major television manufacturer has determined that its 50-inch LED televisions have a mean service life that can be modeled by a normal distribution with a mean of six years and a standard deviation of one-half year. What service period (in year) would achieve an expected wear-out rate of 5 percent?

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