The line width for semiconductor manufacturing is assumed to be normally distributed with a mean of 0.5 micrometers and a standard deviation of 0.05 micrometers.
(a) What is the probability that a line width is greater than 0.62 micrometer?
(b) What is the probability that a line width is between 0.47 and 0.63 micrometer?
(c) The line width of 90% of samples is below what value?
The fill volume of an automated filling machine used for filling cans of carbonates beverage is normally distributed with a mean of 12.4 fluid ounces and a standard deviation of 0.1 fluid ounce.
(a) What is the probability a fill volume is less than 12 fluid ounces?
(b) If all cans less than 12.1 or greater than 12.6 ounces are scrapped, what proportion of cans is scrapped?
This solution provides answers to various questions involving probability and proportions.