Samples of emissions from three suppliers are classified for conformance to air-quality specifications. The results from 407 samples are summarized in the following table. Let A denote the event that a sample isn't from supplier 1, and let B denote the event that a sample doesn't conform to specifications. Determine the probability of the complement of $((A \cup B) \cap (A \cap B))^c$. conforms yes no 1 54 97 supplier 2 18 13 3 87 138 Select one: a. 0.628993 b. 0.371007 c. 0.371007 d. 1.000000 e. 0.000000
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This is the sum of the samples from suppliers 2 and 3, which is 18 + 13 + 87 + 138 = 256. So, P(A) = 256/407. * P(B): The probability that a sample does not conform to specifications. This is the sum of the samples in the "no" column, which is 97 + 13 + 138 = 248. Show more…
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Lucas F.
Samples of emissions from three suppliers are classified for conformance to air-quality specifications. The results from 100 samples are summarized as follows: Conforms yes no Supplier 1 22 8 2 25 5 3 30 10 Let A denote the event that a sample is from supplier 1, and let B denote the event that a sample conforms to specifications. If a sample is selected at random, what is the value of P(A ∩ B')? a. 0.45 b. 0.92 c. 0.08 d. 0.22
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