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?
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Question
![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?](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F1da296ee-2468-43bb-ac80-be0eb8484519%2Fe0ac5036-1131-4a1d-afca-509117ad35fd%2Faepk9wg_processed.jpeg&w=3840&q=75)
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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