Problem 1 (20 points) Hydraulic landing assemblies coming from an aircraft rework facility are each inspected for defects. Historical records indicate that 7.85% have defects in shafts only, 4.25% have defects in bushings only, and 1.9% have defects in both shafts and bushings. One of the hydraulic assemblies is selected randomly. What is the probability that the assembly has 1. a bushing defect? 2. a shaft or bushing defect? 3. exactly one of the two types of defects? 4. neither type of defects?

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Problem 1 (20 points)
Hydraulic landing assemblies coming from an aircraft rework facility are each inspected for
defects. Historical records indicate that 7.85% have defects in shafts only, 4.25% have defects
in bushings only, and 1.9% have defects in both shafts and bushings. One of the hydraulic
assemblies is selected randomly. What is the probability that the assembly has
1. a bushing defect?
2. a shaft or bushing defect?
3. exactly one of the two types of defects?
4. neither type of defects?
Transcribed Image Text:Problem 1 (20 points) Hydraulic landing assemblies coming from an aircraft rework facility are each inspected for defects. Historical records indicate that 7.85% have defects in shafts only, 4.25% have defects in bushings only, and 1.9% have defects in both shafts and bushings. One of the hydraulic assemblies is selected randomly. What is the probability that the assembly has 1. a bushing defect? 2. a shaft or bushing defect? 3. exactly one of the two types of defects? 4. neither type of defects?
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