Plastic parts produced by an injection-molding operation are checked for conformance to specifications. Each tool contains 12 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 12 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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Plastic parts produced by an injection-molding
operation are checked for conformance to specifications. Each
tool contains 12 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 12 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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