A major television manufacturer has determined that its 19-inch color TV picture tubes have a mean service life that can be modeled by a normal distribution with a mean of 6.5 years and a standard deviation of 1.4 years. Use Table A and Table B. a. What probability can you assign to service llves of at least: (1) Five years? (2) Five and one-half years? (3) Seven years? (Round "probability" answers to 4 decimal places and " z " answers to 2 decimal places. Negative amounts should be indicated by a minus sign. Leave no cells blank - be certain to enter " 0 " wherever required.) b. If the manufacturer offers service contracts of Four years on these picture tubes, what percentage can be expected to fail from wear-out during the service period? (Round your answers to 2 decimal places. Negative amounts should be indicated by a minus sign. Leave no cells blank - be certain to enter " 0 " wherever required.) b. If the manufacturer offers service contracts of Four years on these picture tubes, what percentage can be expected to fail from wear-out during the service period? (Round your answers to 2 decimal places. Negative amounts should be indicated by a minus sign. Leave no cells blank - be certain to enter " 0 " wherever required.) c. What service period would achieve an expected wear-out rate of (1) 3% ? (2) 6% ? (Round your " z values" and final answers to 2 decimal places. Leave no cells blank - be certain to enter " 0 wherever required.)