A U-shaped component is to be formed from the three parts A, B, and C. See figure below. The length of A is normally distributed with a mean of 10 mm and a standard deviation of 0.1 mm. The thickness of parts B and C is normally distributed with a mean of 2 mm and a standard deviation of 0.05 mm. Assume that all dimensions are independent. (a) Determin the mean and standard deviation of the lenght of the gap D. (b) What is the propability that the gap D is tess than 5.9mm?

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A U-shaped component is to be formed from the three parts A, B, and C. See figure below. The length of A is normally distributed with a mean of 10 mm and a standard deviation of 0.1 mm. The thickness of parts B and C is normally distributed with a mean of 2 mm and a standard deviation of 0.05 mm. Assume that all dimensions are independent.

(a) Determin the mean and standard deviation of the lenght of the gap D.

(b) What is the propability that the gap D is tess than 5.9mm?

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