1 A quality control engineer is in charge of testing whether

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 12 DVD players from each day\'s production. The day\'s production is accept-able 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 probability that the engineer incorrectly passes a day\'s production as acceptable if only 80% of the day\'s DVD players actually conform to specification? (ii) What is the probability that the engineer unnecessarily requires the entire day\'s production to be tested if in fact 90% of the DVD players conform to specifications?

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