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Forming a U-shaped Component - Calculating Gap Length Statistics

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A U-shaped component is to be formed from three part A, B and C, as shown in the picture below. The length of A is normally distributed with a mean of 10 millimeters and a standard deviation of 0.1 millimeter. The thickness of parts B and C is normally distributed with a mean of 2 millimeters and a standard deviation of 0.05 millimeter. Assume all dimensions are independent. a)Determine the mean and standard deviation of the length of the gap D B)What is the probability that the gap D is less than 5.9 millimeters? Solution plz show the picture.

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A U-shaped component is to be formed from three part A, B and C, as shown in the picture below. The length of A is normally distributed with a mean of 10 millimeters and a standard deviation of 0.1 millimeter. The thickness of parts B and C is normally distributed with a mean of 2 millimeters and a standard deviation of 0.05 millimeter. Assume all dimensions are independent. a)Determine the mean and standard deviation of the length of the gap D B)What is the probability that the gap D is less than 5.9 millimeters? Solution plz show the picture

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Forming a U-shaped Component - Calculating Gap Length Statistics

  • 1. A U-shaped component is to be formed from three part A, B and C, as shown in the picture below. The length of A is normally distributed with a mean of 10 millimeters and a standard deviation of 0.1 millimeter. The thickness of parts B and C is normally distributed with a mean of 2 millimeters and a standard deviation of 0.05 millimeter. Assume all dimensions are independent. a)Determine the mean and standard deviation of the length of the gap D B)What is the probability that the gap D is less than 5.9 millimeters? Solution plz show the picture