Question: 7.55 A quality control plan calls for randomly selecting three items from the daily production (assumed to be large) of a certain machine and observing

7.55 A quality control plan calls for randomly selecting three items from the daily production (assumed to be large) of a certain machine and observing the number of defectives. However, the proportion p of defectives produced by the machine varies from day to day and is assumed to have a uniform distribution on the interval (0,1). For a randomly chosen day, find the unconditional probability that exactly two defectives are observed in the sample.

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