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 Tas 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)- If a particular lamp is made up of these two inks only, what is the probability that the total ink thickness (T) is less than 0.2337 mm? Answer (in 2 decimal places):

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