The diameter of the dot produced by a printer is normally distributed with a mean diameter of 0.03inch and a standard deviation of 0.002inch. a. What is the probability that a diameter is between...

The diameter of the dot produced by a printer is normally distributed with a mean diameter of 0.03inch and a standard deviation of 0.002inch.

a. What is the probability that a diameter is between 0.026 and 0.034?

b. What standard deviation of diameters is needed so that the probability in part (a) is 0.995?