What Is the Defective Rivet Probability for Aircraft Seams?

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An aircraft requires [tex]25[/tex] rivets. The seam will have to be reworked if any of these rivets is defective. Suppose rivets are defective independently of one another, each with same probability.

(a) If [tex]20 \%[/tex] of all seams need reworking, what is the probability that a rivet is defective?

So this is equaled to [tex]\frac{1}{25}[/tex]?


(b) How small should the probability of a defective rivet be to ensure that only [tex]10 \%[/tex] of all seams need reworking?
 
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