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Samples of emissions from three suppliers are classi-
fied for conformance to air-quality specifications. The results
from 100 samples are summarized as follows:

Let $$A$$ denote the event that a sample is from supplier 1 , and let
$$B$$ denote the event that a sample conforms to specifications.
Determine the number of samples in $$A^{\prime} \cap B, B^{\prime},$$ and $$A \cup B$$ .

$$n=100$$

$$A \rightarrow$$ from (1)

$$B \rightarrow$$ samples that conforms to specifications

$$A^{\prime} \cap B$$

$$B^{\prime}, A \cup B$$

$$A^{\prime} \cap B=25+30=55$$

$$B^{\prime}=8+5+10=23$$

$$A \cup B=8+22+25+30=85$$

 

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