Components of a certain type are shipped to a supplier in batches of ten. Suppose that 51% of all such batches contain no defective components, 29% contain one defective component, and 20% contain two defective components. Two components from a batch are randomly selected and tested. What are the probabilities associated with 0, 1, and 2 defective components being in the batch under each of the following conditions? (Round your answers to four decimal places.) (a) Neither tested component is defective. no defective components one defective component two defective components (b) One of the two tested components is defective. [Hint: Draw a tree diagram with three first-generation branches for the three different types of batches.] no defective components one defective component two defective components

A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
Section: Chapter Questions
Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
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Components of a certain type are shipped to a supplier in batches of ten. Suppose that 51% of all such batches contain no defective components, 29% contain one defective
component, and 20% contain two defective components. Two components from a batch are randomly selected and tested. What are the probabilities associated with 0, 1, and 2
defective components being in the batch under each of the following conditions? (Round your answers to four decimal places.)
(a) Neither tested component is defective.
no defective components
one defective component
two defective components
(b) One of the two tested components is defective. [Hint: Draw a tree diagram with three first-generation branches for the three different types of batches.]
no defective components
one defective component
two defective components
Transcribed Image Text:Components of a certain type are shipped to a supplier in batches of ten. Suppose that 51% of all such batches contain no defective components, 29% contain one defective component, and 20% contain two defective components. Two components from a batch are randomly selected and tested. What are the probabilities associated with 0, 1, and 2 defective components being in the batch under each of the following conditions? (Round your answers to four decimal places.) (a) Neither tested component is defective. no defective components one defective component two defective components (b) One of the two tested components is defective. [Hint: Draw a tree diagram with three first-generation branches for the three different types of batches.] no defective components one defective component two defective components
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