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Suppose that in an adult population the proportion of people who are both overweight 1d suffer hypertension is [1.09; the proportion of people who are

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Suppose that in an adult population the proportion of people who are both overweight 1d suffer hypertension is [1.09; the proportion of people who are not overweight but [er hypertension is 0.11; the proportion of people who are overweight but do not iffer hypertension is 0.02; and the proportion of people who are neither overweight nor liter hypertension is 0.?8. An adult is randomly selected from this population. a]Find the probability that the person selected suffers hypertension given that he is overweight. b]Find the probability that the selected person suffers hypertension given that he is not overweight. c)Conipare the two probabilities just found to give an answer to the question as to whether overweight people tend to suffer pni hypertension. The specicity of a diagnostic test for a disease is the probability at the test will be negative when administered to a person who does ot have the disease. The higher the specicity, the lower the false ositive rate. Suppose the specificity of a diagnostic procedure to test whether a person has a particular disease is 89%. l. A person who does not have the disease is tested for it using this procedure. What is the probability that the test result will be positive? 2. A person who does not have the disease is tested for it by two independent laboratories using this procedure. What is the probability that both test results will be positive

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