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In: Statistics and Probability

precision manufacturing: a process manufactures ball bearings with diameters that are normally distributed with mean 25.0...

precision manufacturing: a process manufactures ball bearings with diameters that are normally distributed with mean 25.0 millimeters and standard deviation 0.07 millimeter.

(a) find the 60th percentile of the diameters.

(b) find the 67th percentile of the diameters.

(c) a hole is to be designed so that 2% of the ball bearings will fit through it. the bearings that fit through the hole will be melted down and remade. what should the diameter of the hole be?

(d)between what 2 values are the middle 95% of the diameter?

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