Question: The diameter of the dot produced by a printer is nor- mally distributed with a mean diameter of 0.002 inch and a standard deviation of

The diameter of the dot produced by a printer is nor- mally distributed with a mean diameter of 0.002 inch and a standard deviation of 0.0004 inch.

(a) What is the probability that the diameter of a dot exceeds 0.0026 inch?

(b) What is the probability that a diameter is between 0.0014 and 0.0026 inch?

(c) What standard deviation of diameters is needed so that the probability in part

(b) is 0.995?

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