5. + -2 points DevoreSta19 2.E 077 My Notes Ask Your Teacher An aircraft seam re

Question

5. + -2 points DevoreSta19 2.E 077 My Notes Ask Your Teacher An aircraft seam requires 28 rivets. The seaml have to be reworked if any of these rivets is defective. Suppose rivets are defective independently of one another, each with the same probability. (Round your answers to four decimal places. (a) If 15% of all seams need reworking, what is the probability that a rivet is defective? (b) How small should the probability of a defective rivet be to ensure that only 10% of all seams need reworking? Need HelpRead It Talk to a Tutor

Explanation / Answer

a) Let the probability that rivet is defective is p. Then,

P(Seams need reworking) = 0.15

So P(Seams correct) = 1 - 0.15 = 0.85

(1 - p)28 = 0.85

p = 0.0058

b) Similar to part a),

(1 - p)28 = 0.90

p = 0.0038

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