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5.6.8 A U-shaped component is to be formed from the three parts A, B, and C. See Figure 5.14. The length of A is normally distributed with a mean of 10 mm and a standard deviation of 0.1 mm. The thicknesses of parts B and C are each normally distributed with a mean of 2 mm and a standard deviation of 0.05 mm. Assume that all dimensions are independent. B C B D A A C FIGURE 5.14 Illustration for the U-shaped component. a. Determine the mean and standard deviation of gap D. b. What is the probability that gap D is less than 5.9 mm?

5.6.8 A U-shaped component is to be formed from the three parts A, B, and C. See Figure 5.14. The length of A is normally distributed with a mean of 10 mm and a standard deviation of 0.1 mm. The thicknesses of parts B and C are each normally distributed with a mean of 2 mm and a standard deviation of 0.05 mm. Assume that all dimensions are independent. B C B D A A C FIGURE 5.14 Illustration for the U-shaped component. a. Determine the mean and standard deviation of gap D. b. What is the probability that gap D is less than 5.9 mm?

MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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5.6.8 A U-shaped component is to be formed from the three parts A, B, and C. See Figure 5.14. The length of A is normally distributed with a mean of 10 mm and a standard deviation of 0.1 mm. The thicknesses of parts B and C are each normally distributed with a mean of 2 mm and a standard deviation of 0.05 mm. Assume that all dimensions are independent. B ✈ C ◄ B D A A с FIGURE 5.14 Illustration for the U-shaped component. a. Determine the mean and standard deviation of gap D. b. What is the probability that gap D is less than 5.9 mm?
Transcribed Image Text:5.6.8 A U-shaped component is to be formed from the three parts A, B, and C. See Figure 5.14. The length of A is normally distributed with a mean of 10 mm and a standard deviation of 0.1 mm. The thicknesses of parts B and C are each normally distributed with a mean of 2 mm and a standard deviation of 0.05 mm. Assume that all dimensions are independent. B ✈ C ◄ B D A A с FIGURE 5.14 Illustration for the U-shaped component. a. Determine the mean and standard deviation of gap D. b. What is the probability that gap D is less than 5.9 mm?
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