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The probability that the blackness of the spot would be greater than 1.05 is 32.64%.
(Already solved for .95. Already solved for 1.05, therefore just took 1-the area for 1.05 and got 32.64%)
If the objective of the production team is to reduce the probability that the blackness is below 0.95 or above 1.05, I feel that the production team would be better off focusing on the process of improving the blackness to the target value of 1.0 rather than trying to reduce the standard further. The standard deviation is already relatively low at 0.10 which indicates little deviation from the mean value of 1...
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