A test for cancer has the following properties: If it is given to a person with...
A test for cancer has the following properties:
If it is given to a person with cancer, it will be positive with probability 19/20; If it is given to a person without cancer, it will be negative with probability 97/100; and the particular form of cancer that it tests for is found in 1 out of every 391 people; Compute the conditional probability that a person has cancer given that he tested positive with this test
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A test for cancer has the following properties:
If it is given to a person with...
RBV testing Suppose that 1% of all people are infected with the rare banana virus (RBV)....
RBV testing Suppose that 1% of all people are infected with the rare banana virus (RBV). There is a test to detect the RBV: if you do have the RBV, then the test will correctly detect this 99% of the time; if you do not have RBV, then the test will correctly indicate this 97% of the time. We assume that if the RBV test is given repeatedly to the same person, then the test results are independent of cach...
A certain virus infects one in every 500 people. A test used to detect the virus...
A certain virus infects one in every 500 people. A test used to detect the virus in a person is positive 90% of the time if the person has the virus and 10% of the time if the person does not have the virus. Let A be the event "the person is infected" and B be the event "the person tests positive." (a) Find the probability that a person has the virus given that they have tested positive. (b)...
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...
Medical screening tests are used to check for the presence on disease, evidence of illegal drug...
Medical screening tests are used to check for the presence on disease, evidence of illegal drug use, etc. The its sensitivity and its specificity. The sensitivity among those with the condition that will test positive. The specichy proportion among those without the condition that will test neg sensitivity of a test is defined to be the conditional ng those without the condition that will test negative. More formally, the test is defined to be the conditional probability that a person...
Suppose that the people attending a resort have a long-term chance of 1 in 100 of having skin can...
Suppose that the people attending a resort have a long-term chance of 1 in 100 of having skin cancer (from too much sun exposure). The resort maintains a clinic to help detect this disease. Suppose that the screening used at this clinic has a false positive rate of 0.2 (that is 20% of people without skin cancer will test positive for cancer) and that it has a false negative rate of 0.1 (10% of people with skin cancer will test...
A certain virus infects one in every 200 people. A test used to detect the virus in a person is positive 90% of the tim...
A certain virus infects one in every 200 people. A test used to detect the virus in a person is positive 90% of the time if the person has the virus and 8% of the time if the person does not have the virus. (This 8% result is called a false positive.) Let A be the event "the person is infected" and B be the event "the person tests positive". a) Find the probability that a person has the virus...
To prevent developing a certain type of cancer, Health Canada organize a di- agnostic test. The...
To prevent developing a certain type of cancer, Health Canada
organize a di- agnostic test. The false positive and negative rates
for this diagnostic test are five percent and four percent,
respectively. Assume that five percent of the population has this
type of cancer.
1. If a randomly selected person has a positive test result,
what is the prob- ability that the person has this type of
cancer?
2. The test is administrated twice on the same patient. Assume
that...
To prevent developing a certain type of cancer, Health Canada organize a diagnostic test. The false...
To prevent developing a certain type of cancer, Health Canada organize a diagnostic test. The false positive and negative rates for this diagnostic test are five percent and four percent, respectively. Assume that five percent of the population has this type of cancer. 1. If a randomly selected person has a positive test result, what is the probability that the person has this type of cancer? 2. The test is administrated twice on the same patient. Assume that the test...
A new, simple test has been developed to detect a particular type of cancer. The test...
A new, simple test has been developed to detect a particular type of cancer. The test must be evaluated before it is put into use. A medical researcher selects a random sample of 2,000 adults and finds (by other means) that 4% have this type of cancer. Each of the 2.000 adults is given the test, and it is found that the test indicates cancer in 99% of those who have it and in 1% of those who do not....
To prevent developing a certain type of cancer, Health Canada organize a di- agnostic test. The...
To prevent developing a certain type of cancer, Health Canada organize a di- agnostic test. The false positive and negative rates for this diagnostic test are five percent and four percent, respectively. Assume that five percent of the population has this type of cancer. a) If a randomly selected person has a positive test result, what is the prob- ability that the person has this type of cancer? b) The test is administrated twice on the same patient. Assume that...
RBV testing Suppose that 1% of all people are infected with the rare banana virus (RBV). There is a test to detect the RBV: if you do have the RBV, then the test will correctly detect this 99% of the time; if you do not have RBV, then the test will correctly indicate this 97% of the time. We assume that if the RBV test is given repeatedly to the same person, then the test results are independent of cach...
Medical screening tests are used to check for the presence on disease, evidence of illegal drug use, etc. The its sensitivity and its specificity. The sensitivity among those with the condition that will test positive. The specichy proportion among those without the condition that will test neg sensitivity of a test is defined to be the conditional ng those without the condition that will test negative. More formally, the test is defined to be the conditional probability that a person...
A certain virus infects one in every 200 people. A test used to detect the virus in a person is positive 90% of the time if the person has the virus and 8% of the time if the person does not have the virus. (This 8% result is called a false positive.) Let A be the event "the person is infected" and B be the event "the person tests positive". a) Find the probability that a person has the virus...
To prevent developing a certain type of cancer, Health Canada
organize a di- agnostic test. The false positive and negative rates
for this diagnostic test are five percent and four percent,
respectively. Assume that five percent of the population has this
type of cancer.
1. If a randomly selected person has a positive test result,
what is the prob- ability that the person has this type of
cancer?
2. The test is administrated twice on the same patient. Assume
that...
A new, simple test has been developed to detect a particular type of cancer. The test must be evaluated before it is put into use. A medical researcher selects a random sample of 2,000 adults and finds (by other means) that 4% have this type of cancer. Each of the 2.000 adults is given the test, and it is found that the test indicates cancer in 99% of those who have it and in 1% of those who do not....
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