Aircraft landing gears coming from a facility are inspected for defects with the aim to improve the failure rates. Historical data shows that 10% have defects in shafts only, 8% have defects in bushings only, and 4% have the two types of defects. An assembly is selected arandom, what is the probability it contains no defects

Question

Mathematics

Deanna Fitzpatrick

20 February, 06:20

Aircraft landing gears coming from a facility are inspected for defects with the aim to improve the failure rates. Historical data shows that 10% have defects in shafts only, 8% have defects in bushings only, and 4% have the two types of defects. An assembly is selected arandom, what is the probability it contains no defects

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Quinn Black · Answer 1

78% probability it contains no defects

Step-by-step explanation:

We have that:

10% have defects in shafts only.

8% have defects in bushings only.

4% have the two types of defects.

An assembly is selected arandom, what is the probability it contains no defects

Either it has at least one defect, or it has no defects. The sum of these probabilities is 100%. So

D + ND = 100

Probability that it has a defect

D = 10 + 8 + 4 = 22%

No defects:

22 + ND = 100

ND = 78

78% probability it contains no defects