A quality control engineer is responsible for testing the production process of DVD players at his company. To do this, the engineer randomly selects a batch of 12 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 rejected. If only 86% of the day's DVD players conform to specification, what is the probability that the engineer incorrectly passes the day's production as acceptable? O 48.34% O 68.03% O 31.97% O 83.63% O 16.37%

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A: Introduction:

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Contingency Table

A contingency table can be defined as the visual representation of the relationship between two or more categorical variables that can be evaluated and registered. It is a categorical version of the scatterplot, which is used to investigate the linear relationship between two variables. A contingency table is indeed a type of frequency distribution table that displays two variables at the same time.

Binomial Distribution

Binomial is an algebraic expression of the sum or the difference of two terms. Before knowing about binomial distribution, we must know about the binomial theorem.