An aircraft seam requires 26 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? 0.010 X (b) How small should the probability of a defective rivet be to ensure that only 5% of all seams need reworking?

Holt Mcdougal Larson Pre-algebra: Student Edition 2012
1st Edition
ISBN:9780547587776
Author:HOLT MCDOUGAL
Publisher:HOLT MCDOUGAL
Chapter11: Data Analysis And Probability
Section11.8: Probabilities Of Disjoint And Overlapping Events
Problem 2C
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An aircraft seam requires 26 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?
0.010
X
(b) How small should the probability of a defective rivet be to ensure that only 5% of all seams need reworking?
Transcribed Image Text:An aircraft seam requires 26 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? 0.010 X (b) How small should the probability of a defective rivet be to ensure that only 5% of all seams need reworking?
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