Suppose that the probability for cancer is .01. And the probability of getting a positive test...
Suppose that the probability for cancer is .01. And the probability of getting a positive test result, given you’ve got cancer is .72, and the probability of getting a negative test result, given you don’t have cancer is .72 as well. What is the probability of cancer, if the test is negative?
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Suppose that the probability for cancer is .01. And the
probability of getting a positive test...
5% of the test population are known to have cancer. The probability of a positive diagnostic...
5% of the test population are known to have cancer. The probability of a positive diagnostic test if the person has cancer is 0.8. In turn, the probability that the diagnostic test will be negative if the person does not have cancer is 0.90. Draw a tree diagram, including all the probabilities with their notation. What is the probability that the test is positive? What is the probability if the test is positive and the person is ill?
Suppose there is a test for prostate cancer for men over 50 that is 95% accurate...
Suppose there is a test for prostate cancer for men over 50 that is 95% accurate both for men that do and for men that don't have prostate cancer. (So the false positive and the false negative rates are both 59). If 1.2 percent of males over 50 have prostate cancer, compute the probability that a Steve, a man over 50, has prostate cancer, given that his test result was positive.
A test for a certain disease has the approximately probabilities of getting a positive or negative...
A test for a certain disease has the approximately probabilities of getting a positive or negative test result based on whether the person has or does not have the disease. Test Results Positive Negative Has the Disease 0.95 0.05 Does not have the disease 0.01 0.99 Based on previous records, the probability of a person having the disease is 0.04. If a person is chosen at random, what is the probability of getting a positive result?
9. Suppose a certain type of cancer is diagnosed by first administering a test, looking at...
9. Suppose a certain type of cancer is diagnosed by first administering a test, looking at the test result and then making the diagnosis. If the test is positive, the patient is diagnosed as having the cancer. If the test is negative, the person is diagnosed as not having the cancer. Let event the person has the cancer and event P the test result is positive. Being diagnosed as having (not having) the cancer does not mean the person has...
A new test for detecting breast cancer is negative in 95% of patients who do not...
A new test for detecting breast cancer is negative in 95% of patients who do not have the disease. If the test is used with 8 consecutive blood samples taken from patients with out the disease what is the probability of getting at least one positive test result? What is the probability of getting 8 positive test results? If 20% of a given population suffers from hypertension and 10% from hypotension, the probability that a randomly selected member of this...
A test for detecting cancer which appears to be promising has been developed. It was found...
A test for detecting cancer which appears to be promising has been developed. It was found that 98% of cancer patients in a hospital reacted positively to the test while 4% of those without cancer reacted positively. 3% of the patients in the hospital have cancer. Let P(C) = Probability of a patient having cancer Let P(NC) = Probability of a patient not having cancer Let P(P+) = Probability of a patient getting a positive result Let P(P-) = Probability...
Need to show work 3. The occurrence of a certain cancer in the general population is...
Need to show work
3. The occurrence of a certain cancer in the general population is 1 in 5,000. A diagnostic test for this cancer exists. If a patient has the cancer, the test is positive 95% of the time. If the patient does not have cancer, the test is negative 98% of the time. (a) Construct a tree diagram. Write probabilities on the branches for each of the two stages. Let the first stage consist of two events: Cancer,...
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...
Suppose a study of 250 high school athletes had the following results. Use this table for...
Suppose a study of 250 high school athletes had the following results. Use this table for problems 14 through 19. Round these values to the nearest ten-thousandth. Had Breast Cancer Did Not Have Breast Cancer Total Mammogram Test Positive 731 10591 11322 Mammogram Test Negative 269 88409 88678 Total 1000 99000 100000 14. What is the probability that a female did not have breast cancer? 15. What is the probability that a female had a positive mammogram result? 16. Find...
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. If a randomly selected person has a positive test result, what is the probability that the person has this type of cancer The test is administrated twice on the same patient. Assume that the test results are...
Suppose there is a test for prostate cancer for men over 50 that is 95% accurate both for men that do and for men that don't have prostate cancer. (So the false positive and the false negative rates are both 59). If 1.2 percent of males over 50 have prostate cancer, compute the probability that a Steve, a man over 50, has prostate cancer, given that his test result was positive.
9. Suppose a certain type of cancer is diagnosed by first administering a test, looking at the test result and then making the diagnosis. If the test is positive, the patient is diagnosed as having the cancer. If the test is negative, the person is diagnosed as not having the cancer. Let event the person has the cancer and event P the test result is positive. Being diagnosed as having (not having) the cancer does not mean the person has...
Need to show work
3. The occurrence of a certain cancer in the general population is 1 in 5,000. A diagnostic test for this cancer exists. If a patient has the cancer, the test is positive 95% of the time. If the patient does not have cancer, the test is negative 98% of the time. (a) Construct a tree diagram. Write probabilities on the branches for each of the two stages. Let the first stage consist of two events: Cancer,...
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...
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