Amachining operation produces steel shafts having diameters that are normally distributed with mean of 1.005 inches and standard deviation of 0.01 inch .. specifications call for diameters to fall within the interval 1.00 +- 0.02 inchs(a) what percentage of the output of this operation will fail to meet the specifications ? (b) what percentage of the output of this operation will meet the specifications ? (c) what percentage of the output of this operation will have diameter less than 0.09 inchs ? (d) suppose now the stanrdard deviation of shaft dimeter is 0.015 find the proper setting so that only 5% of the shafts will have a dimeter > 1.02 inches .