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1.) A quality control engineer is in charge of testing whether or not 90% of the DVD players produced by his company conform to specifications. To do this, the engineer randomly selects a batch of 10 DVD players from each day's production. The day's production is acceptable provided no more than 1 DVD player fails to meet specifications. Otherwise, the entire day's production has to be tested.
(i) What is the
(ii) What is the probability that the engineer unnecessarily requires the entire day's production to be tested if in fact 95% of the DVD players conform to specifications?
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