Plastic parts produced by an injection-molding operation are checked for conformance to specifications. Each ool contains 14 cavities in which parts are produced, and these parts fall into a conveyor when the press opens. An nspector chooses 3 parts from among the 14 at random. Two cavities are affected by a temperature malfunction that esults in parts that do not conform to specifications. a) How many samples contain exactly 1 nonconforming part? b) How many samples contain at least 1 nonconforming part?

A First Course in Probability (10th Edition)
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ISBN:9780134753119
Author:Sheldon Ross
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Chapter1: Combinatorial Analysis
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Plastic parts produced by an injection-molding operation are checked for conformance to specifications. Each
tool contains 14 cavities in which parts are produced, and these parts fall into a conveyor when the press opens. An
inspector chooses 3 parts from among the 14 at random. Two cavities are affected by a temperature malfunction that
results in parts that do not conform to specifications.
(a) How many samples contain exactly 1 nonconforming part?
(b) How many samples contain at least 1 nonconforming part?
Transcribed Image Text:Plastic parts produced by an injection-molding operation are checked for conformance to specifications. Each tool contains 14 cavities in which parts are produced, and these parts fall into a conveyor when the press opens. An inspector chooses 3 parts from among the 14 at random. Two cavities are affected by a temperature malfunction that results in parts that do not conform to specifications. (a) How many samples contain exactly 1 nonconforming part? (b) How many samples contain at least 1 nonconforming part?
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