Problem#4: The diameter of the dot produced by a printer is normally 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?

MATLAB: An Introduction with Applications
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Author:Amos Gilat
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Problem# 4: The diameter of the dot produced by a printer is normally
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?
Transcribed Image Text:Problem# 4: The diameter of the dot produced by a printer is normally 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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