In the manufacture of light emitting diode (LED), different layers of ink are on the optic lens. The thickness of these layers is critical if specifications regarding the final color and intensity of light are to be met. Let X1 and X2 denote the thickness of two different layers of ink. It is known that X1 is normally distributed with a mean of 0.1 mm and a standard deviation of 0.00031 mm, and X2 is also normally distributed with a mean of 0.23 mm and a standard deviation of 0.00017 mm. Assume that these variables are independent. Let T as the ink total thickness. Give the estimated ink total thickness (in 2 decimal places) : Give the  estimated standard deviation of the ink total thickness (in six (6) decimal places)= A lamp with a total ink thickness (T) exceeding 0.2405 mm lacks the uniformity of color that the customer demands. Find the probability that a randomly selected lamp fails to meet customer specifications Answer (in 2 decimal places)

A First Course in Probability (10th Edition)
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Author:Sheldon Ross
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Chapter1: Combinatorial Analysis
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In the manufacture of light emitting diode (LED), different layers of ink are on the optic lens. The thickness of these layers is critical if specifications regarding the final color and intensity of light are to be met. Let X1 and X2 denote the thickness of two different layers of ink. It is known that X1 is normally distributed with a mean of 0.1 mm and a standard deviation of 0.00031 mm, and X2 is also normally distributed with a mean of 0.23 mm and a standard deviation of 0.00017 mm. Assume that these variables are independent. Let T as the ink total thickness.

Give the estimated ink total thickness (in 2 decimal places) :
Give the  estimated standard deviation of the ink total thickness (in six (6) decimal places)=
A lamp with a total ink thickness (T) exceeding 0.2405 mm lacks the uniformity of color that the customer demands. Find the probability that a randomly selected lamp fails to meet customer specifications Answer (in 2 decimal places) :

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