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Extruded plastic rods are automatically cut into nominal lengths of 6 inches

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Extruded plastic rods are automatically cut into nominal lengths of 6 inches. Actual lengths arenormally distributed about a mean of 6 inches and their standard deviation is 0.06 inch.( a ) What proportion of the rods have lengths that are outside the tolerance limits of 5.9 inches to6.1 inches? ------ 0.0950( b ) To what value does the standard deviation need to be reduced if 99% of the rodsmust be within tolerance?