Two parts used in automobile transmissions are being assembled as shown in the figure. The distributions of and are…

Question:

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Two parts used in automobile transmissions are being assembled as shown in the figure. The distributions of and are normal, with 1=345,0₁=0.05, ₂=34.35, and ₂=0.04. The specifications of the clearance between the

mating parts are 0.0375±0.102.

If the assembly is at random,

a. (4 P) What is the expected clearance?

Answer:

cm.

↑

X1

b. (10 P) What is the standard deviation of the clearance?

Answer:

cm

12

c (16 P) What percentage of assemblies will fail to meet the specifications?

Answer:

% (Provide only the percentage no decimals required, i.e.: 40)

d. (10 P) What is the probability of a randomly selected assembly has a positive clearance?

Answer:

4

Expert Answer:

Answer rating: 100% (QA)

Given that x N 34 5 0 05 Let 2 M 1

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