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The diameters of ball bearings manufactured by a process are normally distributed with mean of 4.52 cm and standard deviation of 0.04 cm. The specification for the diameter of a bolt is 4.50 0.05cm.

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1.What proportion of the ball bearings manufactured by this process meet the specifications?

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2.What is the 99th percentile of the diameter of the ball bearing?

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3.if the mean is set to 4.50 cm instead of 4.52 cm through calibration, what proportion of the ball bearings will meet specifications?

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4.If the mean is set to 4.50 cm, what must the standard deviation be so that 99% of the ball bearings will meet specifications?