3. Failures in the mechanism in cars that lets you raise and lower the window ca

Question

3. Failures in the mechanism in cars that lets you raise and lower the window can be traced to faulty electrical connections (15%) or mechanical defects (85%). Mechanical defects are related to material imperfections in parts (35%) or improper assembly (65%). Electrical connection defects are caused by defects in wires (40%), connecting the wrong wires (8%), or improper welding (52%). (a) What is the probability that a failure is due to material imperfections in parts? onnecting the wrong wires, and im- proper welding, what is the probability that a failure is caused by human error?

Explanation / Answer

a) probability that a failure is due to material imperfection = 0.85 * 0.35 = 0.2975

b) Probability of human error = P(improper assembly) + P(connecting wrong wires) + P(improper welding)

= 0.85 * 0.65 + 0.15 * 0.08 + 0.15 * 0.52

= 0.6425

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