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Plastic parts produced by an injection-molding operation are checked for conform

ID: 3354406 • Letter: P

Question

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 1 part(s) 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) What is the probability that the inspector finds exactly one nonconforming part?

(b) What is the probability that the inspector finds at least one nonconforming part?

Explanation / Answer

Since inspector is choosing only one part, the answer for a) and b) would be same because the part can be conforming or nonconforming.

Hence,

P(Inspector finds exactly one nonconforming part)

= P(Inspector finds atleast one nonconforming part)

= 2/14

= 1/7