Blood Tests A hospital uses two tests to classify blood. Every blood sample is subjected to both tests. The first test correctly identifies blood type with probability .7, and the second test correctly identifies blood type with probability .8. The probability that at least one of the tests correctly identifies the blood type is .9. a. Find the probability that the second test is correct, given that the first test is correct. b. Are the events “test I correctly identifies the blood type” and “test II correctly identifies the blood type” independent?
Blood Tests A hospital uses two tests to classify blood. Every blood sample is subjected to both tests. The first test correctly identifies blood type with probability .7, and the second test correctly identifies blood type with probability .8. The probability that at least one of the tests correctly identifies the blood type is .9. a. Find the probability that the second test is correct, given that the first test is correct. b. Are the events “test I correctly identifies the blood type” and “test II correctly identifies the blood type” independent?
Blood Tests A hospital uses two tests to classify blood. Every blood sample is subjected to both tests. The first test correctly identifies blood type with probability .7, and the second test correctly identifies blood type with probability .8. The probability that at least one of the tests correctly identifies the blood type is .9.
a. Find the probability that the second test is correct, given that the first test is correct.
b. Are the events “test I correctly identifies the blood type” and “test II correctly identifies the blood type” independent?
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