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The probability that a person has a certain disease is 0.03. Medical diagnostic tests are available to determine whether a person has the disease. If
The probability that a person has a certain disease is 0.03. Medical diagnostic tests are available to determine whether a person has the disease. If the disease is present, the probability that the medical diagnostic test will give a positive result (indicating that the disease is present) is 0.90. If the disease is not present, the probability of a positive test result (indicating that the disease is present when it is not, called a false positive) is 0.01. Complete parts (a) through (d) below. ..... a. If the medical diagnostic test has given a positive result (indicating that the disease is present), what is the probability that the disease is present? The probability is |:. (Round to three decimal places as needed.) b. If the medical diagnostic test has given a positive result, what is the probability that the disease is not present? The probability is |:. (Round to three decimal places as needed.) c. If the medical diagnostic test has given a negative result (indicating that the disease is not present), what is the probability that the disease is not present? The probability is |:. (Round to three decimal places as needed.) d. If the medical diagnostic test has given a negative result, what is the probability that the disease is present? The probability is |:. (Round to three decimal places as needed.)
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