An aircraft seam requires 20 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 the same probability. (Round your answers to four decimal places.) (a) If 24% of all seams need reworking, what is the probability that a rivet is defective? 0.013628 (b) How small should the probability of a defective rivet be to ensure that only 5% of all seams need reworking? 0.99419 Need Help? Read It Watch It

College Algebra
10th Edition
ISBN:9781337282291
Author:Ron Larson
Publisher:Ron Larson
Chapter8: Sequences, Series,and Probability
Section8.7: Probability
Problem 50E: Flexible Work Hours In a recent survey, people were asked whether they would prefer to work flexible...
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An aircraft seam requires 20 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 the same probability. (Round your answers to four decimal places.)
(a) If 24% of all seams need reworking, what is the probability that a rivet is defective?
0.013628
(b) How small should the probability of a defective rivet be to ensure that only 5% of all seams need reworking?
0.99419
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Transcribed Image Text:An aircraft seam requires 20 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 the same probability. (Round your answers to four decimal places.) (a) If 24% of all seams need reworking, what is the probability that a rivet is defective? 0.013628 (b) How small should the probability of a defective rivet be to ensure that only 5% of all seams need reworking? 0.99419 Need Help? Read It Watch It
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