The probability that a person has a certain disease is 0.05. Medical diagnostic tests are available to determine whether the person actually has the disease. If the disease is actually present, theprobability that the medical diagnostic test will give a positive result (indicating that the disease is present) is 0.88. If the disease is not actually present, the probability of a positive test result(indicating that the disease is present) is 0.03.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 actually present?b. 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?a. The probability is 607) (Round to three decimal places as needed.)b. The probability is(Round to three decimal places as needed.)GID

Answered: The probability that a person has a…

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

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The probability that a person has a certain disease is 0.02 Medical diagnostic tests are available to determine whether the person actually has the disease. If the disease is actually 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 actually present, the probability of a positive test result (indicating that the disease is present) is 0.01. If the medical diagnostic test has given a positive result (indicating that the disease is present), what is the probability that the disease is actually present?
A certain disease has an incidence rate of 0.1%. If the false negative rate is 7% and the false positive rate is 3%, compute the probability that a person who tests positive actually has the disease.
The probability that an adult possesses a credit card is .75. A researcher selects two adults at random. The probability that the first adult possesses a credit card and the second adult does not possess a credit card
COVID is known to affect one in ten thousand people. A screening test for the virus shows a positive result for 99% of the people with the virus. The test also shows positive for 2% of people who do not have the virus. Find the probability that somebody is healthy given that they have positive test result?
A new medical test has been designed to detect the presence of a certain disease. Among those who have the disease, the probability that the disease will be detected by the new test is 0.74. However, the probability that the test will erroneously indicate the presence of the disease in those who do not actually have it is 0.04. It is estimated that 14 % of the population who take this test have the disease.If the test administered to an individual is positive, what is the probability that the person actually has the disease?
Suppose that the probability that a child living in an urban area in the United States is obese is 20%. If a social worker sees 15 children living in urban areas, what is the probability that 5 are obese? Enter response as .xxxx
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Assume that 2% of the Brazilian population had dengue fever and that a test correctly identified the fever 95% of the time. Assume that a false positive occurred 5% of the time. If a person tested positive for the fever, what was the probability that the person actually had the fever?
A certain virus affects 0.7% of the population. A test used to detect the virus in a person is positive 88% of the time if the person has the virus (true positive) and 13% of the time if the person does not have the virus (false positive) Fill out the remainder of the following table and use it to answer the two questions below based on a total sample of 100,000 people. a. Find the probability that a person has the virus given that they have tested positive. Round your answer to the nearest hundredth of a percent and do not include a percent sign. b. Find the probability that a person does not have the virus given that they test negative. Round your answer to the nearest hundredth of a percent and do not include a percent sign.
A certain disease has an incidence rate of 0.7%. If the false negative rate is 8% and the false positive rate is 4%, compute the probability that a person who tests positive actually has the disease.
A blood test indicates the presence of a particular disease 98% of the time when the disease is actually present. The same test indicates the presence of the disease 0.5% of the time when the disease is not present. One percent of the population actually has the disease. Calculate the probability that a person has the disease, given that the test indicates the presence of the disease.

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