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.

a. What probability can you assign to service lives of at least (1) five years? (2) Six years?

(3) Seven and one-half years?

b. If the manufacturer offers service contracts of four years on these televisions, what percentage can be expected to fail from wear-out during the service period?

c. What service period would achieve an expected wear-out rate of (1) 2 percent? (2) 5 percent?

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