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3) A certain blood test for a disease gives a positive result 90% of the time...
It’s known that 2 % of people in a certain population have the disease. A blood...
It’s known that 2 % of people in a certain population have the disease. A blood test gives a positive result (indicating the presence of disease) for 95% of people who have the disease, and it is also positive for 3% of healthy people. One person is tested and the test gives positive result. a. If the test result is positive for the person, then the probability that this person actually has a disease is _________ b. If the test...
In a laboratory, blood test is 95% effective in detecting a certain disease, when it is,...
In a laboratory, blood test is 95% effective in detecting a certain disease, when it is, in fact, present. However, the test also yields a false positive (test is positive but patient does not have the disease) result for 1% of the healthy people tested. 0.5% of the population actually has the disease. Given this information, calculate the following probabilities: The probability that the test is positive. Given a negative result, the probability that the person does not have the...
For Test Strip A: If the person has the disease: strip will show positive result 95%...
For Test Strip A: If the person has the disease: strip will show positive result 95% of the time / negative result 5% of the time. If the person does NOT have the disease: strip will show positive result 10% of the time / negative result 90% of the time If a person tests positive, they take test again. It turns out that 15% of people who take the test again test positive again. If everyone is tested, what percentage...
Problem Nine A test for a certain disease was given to 1,000 subjects, 8% of whom...
Problem Nine A test for a certain disease was given to 1,000 subjects, 8% of whom were known to have the disease. For the subjects who had the disease, the test had a positive result for the disease in 90% of the subjects, was inconclusive for 7% and a negative result in 3% of the subjects. For subjects who did not have the disease, the test had a positive result in 5% of subjects, was inconclusive in 10% and a...
3. Assume 6% of people have a certain disease. A test gives correct diagnosis with probability...
3. Assume 6% of people have a certain disease. A test gives correct diagnosis with probability 0.85 i.e. if the person is sick, the test will be positive with probability 0.85, but if the person is not sick, the test will be positive with probability 0.15. A random person from the population has tested positive for the disease. What is the probability that he is actually sick? Part 2. Random Variables
A test for a certain disease provides a correct diagnosis (gives a positive result, when the...
A test for a certain disease provides a correct diagnosis (gives a positive result, when the patient has the disease) with probability 0.97, and wrongly diagnoses (gives a positive result, when the patient doesn’t have the disease) with probability 0.02. It is known that the disease is rare: published figures indicate it occurs in only 3 per 1000 individuals. Suppose that a randomly chosen individual is given the test. Calculate the probability (to at least four decimal places) that: (a)...
Question 10: (10 marks) blood test is 95 percent effective in detecting a certain disease when it is, in fact, also...
Question 10: (10 marks) blood test is 95 percent effective in detecting a certain disease when it is, in fact, also yields a "false positive" result for 10 percent of the healthy persons A laboratory present. However, the test tested. (That is, if a healthy person is tested, then, with probability 0.10, the test result will imply he or she has the disease.) If 0.7 percent of the population actually has the disease, what is the probability a person has...
Assume that 0.1% of people from a certain population have a germ. A test gives false...
Assume that 0.1% of people from a certain population have a germ. A test gives false positive in 10% of cases when the person does not have this germ. This test gives false negative in 20% of cases when this person has this germ. Suppose you pick a random person from the population and apply this test twice. Both time it gives you positive result. What is the probability that this person actually has this germ?
In screening for a certain disease, the probability that a healthy person wrongly gets a positive...
In screening for a certain disease, the probability that a healthy person wrongly gets a positive result is 0.05. The probability that a diseased person wrongly gets a negative result is 0.002. The overall rate of the disease in the population being screened is 1%. If my test gives a positive result, what is the probability I actually have the disease?
Problem Nine A test for a certain disease was given to 1,000 subjects, 8% of whom...
Problem Nine A test for a certain disease was given to 1,000 subjects, 8% of whom were known to have the disease. For the subjects who had the disease, the test had a positive result for the disease in 90% of the subjects, was inconclusive for 7% and a negative result in 3% of the subjects. For subjects who did not have the disease, the test had a positive result in 5% of subjects, was inconclusive in 10% and a...
3. Assume 6% of people have a certain disease. A test gives correct diagnosis with probability 0.85 i.e. if the person is sick, the test will be positive with probability 0.85, but if the person is not sick, the test will be positive with probability 0.15. A random person from the population has tested positive for the disease. What is the probability that he is actually sick? Part 2. Random Variables
Question 10: (10 marks) blood test is 95 percent effective in detecting a certain disease when it is, in fact, also yields a "false positive" result for 10 percent of the healthy persons A laboratory present. However, the test tested. (That is, if a healthy person is tested, then, with probability 0.10, the test result will imply he or she has the disease.) If 0.7 percent of the population actually has the disease, what is the probability a person has...
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