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A quality control plan calls for randomly selecting three
Chapter 5, Problem 41E(choose chapter or problem)
Problem 41E
A quality control plan calls for randomly selecting three items from the daily production (assumed 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.
Questions & Answers
QUESTION:
Problem 41E
A quality control plan calls for randomly selecting three items from the daily production (assumed 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.
ANSWER:
Solution:
Step 1 of 2:
A quality control plan cells for randomly selected three item from the daily production of a certain machine and observing the number of defectives.
The probability, p, of defectives have a uniform distribution on the interval (0,1).
We have to find the unconditional probability that exactly two defectives are observed in the sample.