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? (b) How small should the probability of a defective rivet be to ensure that only 7% of all seams need reworking?
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? (b) How small should the probability of a defective rivet be to ensure that only 7% 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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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?
(b) How small should the probability of a defective rivet be to ensure that only 7% of all seams need reworking?
Expert Solution
Step 1
Given information:
Total number of rivets required by an aircraft seam = 20
If any of the above 20 rivets is defective, the seam will have to be reworked.
All the rivets are supposed to be defective independently of one another, each with the same probability.
It is required to obtain:
(a) If 24% of all seams need reworking, what is the probability that a river is defective.
(b) how small should the probability of a defective rivet be to ensure only 7% of all seams need reworking.
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