w6_ProbBinRv2_post (1)

# w6_ProbBinRv2_post (1) - (Imperfect Medical Tests Suppose...

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(Imperfect Medical Tests) Suppose that 1% of a population contracted a certain disease. A new diagnostic test has been developed. A diseased person is tested positive 97% of the time. When the disease is absent, the test yields negative results with probability 95%. What is the probability that a person tested positive has the disease? What is the probability that a person tested negative does not has the disease?

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supplies 25% of the batches, vendor Y supplies 40% and vendor Z supplies 35%. There are respectively 80%, 85% and 70% of the batches from vendors X, Y and Z are good. (a) What is the percentage of good chemical batches in ABC Corporation? (b) Given that a chemical batch is good, what is the probability that it is supplied by vendor X? (c) Given that a chemical batch is not good, what is the probability that it is supplied by vendor X? (d) If a chemical batch of ABC Corporation is selected at random, what is the probability that
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w6_ProbBinRv2_post (1) - (Imperfect Medical Tests Suppose...

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