A new medical test has been designed to detect the presence of the mysterious Brainlesserian disease....
A new medical test has been designed to detect the presence of
the mysterious Brainlesserian disease. Among those who have the
disease, the probability that the disease will be detected by the
new test is 0.820.82.
However, the probability that the test will erroneously indicate
the presence of the disease in those who do not actually have it is
0.020.02. It is estimated that 14%14% of the population who take
this test have the disease.
Let DD be the event someone has the disease and PP (for positive)
the event that the new test detects the disease.
If the test administered to an individual is positive, what is the
probability that the person actually has the disease?
P(D|P)=
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A new medical test has been designed to detect the presence of
the mysterious Brainlesserian disease....
A new medical test has been designed to detect the presence of the mysterious Brainlesserian disease....
A new medical test has been designed to detect the presence of the mysterious Brainlesserian disease. Among those who have the disease, the probability that the disease will be detected by the new test is 0.82. However, the probability that the test will erroneously indicate the presence of the disease in those who do not actually have it is 0.06. It is estimated that 13 % of the population who take this test have the disease. If the test administered...
A medical test has been designed to detect the presence of a certain disease. Among people...
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A new test to detect TB has been designed. It is estimated that 89% of people...
A new test to detect TB has been designed. It is estimated that 89% of people taking this test have the disease. The test detects the disease in 97% of those who have the disease. The test does not detect the disease in 99% of those who do not have the disease. If a person taking the test is chosen at random, what is the probability of the test indicating that the person does not have the disease?
A scientist designed a medical test for a certain disease. Among 100 patients who have the...
A scientist designed a medical test for a certain disease. Among 100 patients who have the disease, the test will show the presence of the disease in 96 cases out of 100, and will fail to show the presence of the disease in the remaining 4 cases out of 100. Among those who do not have the disease, the test will erroneously show the presence of the disease in 3 cases out of 100, and will show there is no...
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9) Suppose that a laboratory test to detect a certain disease has the following statistics. Let A- event that the tested person has the disease B-event that the test result is positive It is known that P(BIA) 0.99 and P(BIA) 0.005 and 0.1% of the population actually has the disease, what is the probability that a person has the disease given that the test result is positive?
A screening test for a rare from of TB has a 7% false positive rate (i.e....
A screening test for a rare from of TB has a 7% false positive rate (i.e. indicates the presence of the disease in people who do not have it). The test has an 18% false negative rate (i.e. indicates the absence of the disease in people who do have it). Suppose that 3% of the population have the disease. (i) Partition the sample space into those who have the disease, B1, and those who don’t have the disease, B2. Find...
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A screening test for a rare form of TB has a 7% false positive rate (i.e. indicates the presence of the disease in people who do not have it). The test has an 8% false negative rate (i.e. indicates th...
A screening test for a rare form of TB has a 7% false positive rate (i.e. indicates the presence of the disease in people who do not have it). The test has an 8% false negative rate (i.e. indicates the absence of the disease in people who do have it). In a population of which 0.6% have the disease, what is the probability that someone who tests positive has the disease?
It is known that 2.6% of the population has a certain disease. A new test is...
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9) Suppose that a laboratory test to detect a certain disease has the following statistics. Let A- event that the tested person has the disease B-event that the test result is positive It is known that P(BIA) 0.99 and P(BIA) 0.005 and 0.1% of the population actually has the disease, what is the probability that a person has the disease given that the test result is positive?
It is known that 2.6% of the population has a certain disease. A new test is developed to screen for the disease. A study has shown that the test returns a positive result for 18% of all individuals, and returns a positive result for 92% of individuals who do have the disease. If a person tests positively for the disease under this test, what is the probability that they actually have the disease? 0.1276 0.1329 0.1435 0.1223 O 0.1382
Problem 4. Screening Tests Suppose that a certain disease is prese test designed to detect this disease if present. The test does not always work perfectly. Sometimes the test is negative when the disease times that the test produces various results. nt in 10% of the population, and that there is a screening is present, and sometimes it is positive when the disease is absent. The table below shows the proportions of Test is Positive (P) Test is Negative (N)...
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