Thickness of two different layers


Let x and y denote the thickness of two different layers of ink deposited onto a substrate. X is normally distributed with mean 0.1 mm and standard deviation 0.00031mm, and y distributed with mean 0.23 mm and standard deviation 0.00017mm, assume x and y are independent, why is the probability that the total ink thickness is less than 0.3337?

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Mathematics: Thickness of two different layers
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