Plastic parts produced by an injection-molding operation are checked for conformance to specifications. each tool contains 15 cavities in which parts are produced, and these parts fall into a conveyor when the press opens. an inspector chooses 3 part(s) from among the 15 at random. three cavities are affected by a temperature malfunction that results in parts that do not conform to specifications.

round your answers to four decimal places.

(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?