San Diego State University Operations And Supply Chain Management Assignment Help - Mean

Question - In the manufacture of electroluminescent lamps, several different layers of ink are deposited onto a
plastic substrate. The thickness of these layers is critical if specifications regarding the final color and
intensity of light of the lamp are to be met. Let X and Y denote the thickness of two different layers of
ink. It is known that X is normally distributed with a mean of 0.1 millimeter and a standard deviation of
0.00031 millimeter and Y is also normally distributed with a mean of 0.23 millimeter and a standard
deviation of 0.00017 millimeter. Assume that these variables are independent.
(a) If a particular lamp is made up of these two inks only, what is the probability that the total ink
thickness is less than 0.2337 millimeter ...Read More ?
(b) A lamp with a total ink thickness exceeding 0.2405 millimeters lacks the uniformity of color
demanded by the customer. Find the probability that a randomly selected lamp fails to meet customer
specifications. ...Read Less

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