An aircraft seam requires 25 rivets. The seam will have to be reworked ifany of these rivets is defective. Suppose rivets are defective independently of one another, each with the same probability. a. If 15% of all seams need reworking, what is the probability that arivet is defective?b. How small should the probability of a defective rivet be toensure that only 10% 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 25 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.

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?

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