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3. It is estinated that 2% of the members of a certain population are infected with...
3. It is estimated that 2% of the members of a certain population are infected with...
3. It is estimated that 2% of the members of a certain population are infected with Hepatitis C virus. A diagnostic test for detecting Hepatitis C yields 4% false positive and 5% false negative results. (a) Find the probability that a person randomly chosen from this popu- lation has a positive result of the diagnostic test for Hepatitis C. (b) Find the probability that a random person who has a positive result of the diagnostic test, actually has Hepatitis C
3. It is estimated that 2% of the meinbers of a certain population are infected with...
3. It is estimated that 2% of the meinbers of a certain population are infected with Hepatitis C virus. A diagnostic test for detecting Hepatitis C yields 4% false positive and 5% false negative results. (a) Find the probability that a person randomly chosen from this popu- lation has a positive result of the diagnostic test for Hepatitis C (b) Find the probability that a random person who has a positive result of the diagnostic test, actually has Hepatitis C.
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...
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...
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...
It is estimated that about 3% of population in a given country is infected with TB...
It is estimated that about 3% of population in a given country is infected with TB bacteria. There is a skin test for TB infection. However, the test is not always accurate. The probability that someone who is infected with TB bacteria will test positive is 0.99. The probability that someone who is not infected with TB bacteria will test negative is also 0.99. Suppose that a randomly chosen person takes the skin test, and the outcome of the test...
a blood test is 80% effective in detecting a certain diseas when it is, in fact,...
a blood test is 80% effective in detecting a certain diseas when it is, in fact, present. however, the test also yields a "false positive" result for 10% of healthy persons. if 5% of the population actually has this disease, what is the probability a person has said disease when positive test result appears.
3. There’s a zombie virus outbreak. The virus has already infected 2% of the world's population....
3. There’s a zombie virus outbreak. The virus has already infected 2% of the world's population. The infected people will eventually turn into zombies, so we want to isolate them now, before they become truly dangerous and infect other people. The scientists in AC Labs invented a test kit for the virus. The test’s sensitivity is 95% (i.e., for 95% of the infected people the test result will be positive) and specificity is 95% (i.e., 95% of the non-infected the...
3.2.8 Suppose that a medical test has a 92% chance of detecting a disease if the...
3.2.8 Suppose that a medical test has a 92% chance of detecting a disease if the person has it (i.e., 92% sensitiv- ity) and a 94% chance of correctly indicating that the dis- ease is absent if the person really does not have the disease (ie,94% specificity). Suppose 10% of the popu- lation has the disease. (a) What is the probability that a randomly chosen person will test positive? (b) Suppose that a randomly chosen person does test positive. What...
(4) A study indicates that 10% of the US. residents are infected by sonne virus. Am...
(4) A study indicates that 10% of the US. residents are infected by sonne virus. Am edical test of 2% of the cases where e virus is not present. Suppose a test result comes out as positive. What is the probability that this virus is 95% accurate. But the test also yields false-positive results in the tester is actually infected by the virus?
3. It is estimated that 2% of the members of a certain population are infected with Hepatitis C virus. A diagnostic test for detecting Hepatitis C yields 4% false positive and 5% false negative results. (a) Find the probability that a person randomly chosen from this popu- lation has a positive result of the diagnostic test for Hepatitis C. (b) Find the probability that a random person who has a positive result of the diagnostic test, actually has Hepatitis C
3. It is estimated that 2% of the meinbers of a certain population are infected with Hepatitis C virus. A diagnostic test for detecting Hepatitis C yields 4% false positive and 5% false negative results. (a) Find the probability that a person randomly chosen from this popu- lation has a positive result of the diagnostic test for Hepatitis C (b) Find the probability that a random person who has a positive result of the diagnostic test, actually has Hepatitis C.
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...
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...
3.2.8 Suppose that a medical test has a 92% chance of detecting a disease if the person has it (i.e., 92% sensitiv- ity) and a 94% chance of correctly indicating that the dis- ease is absent if the person really does not have the disease (ie,94% specificity). Suppose 10% of the popu- lation has the disease. (a) What is the probability that a randomly chosen person will test positive? (b) Suppose that a randomly chosen person does test positive. What...
(4) A study indicates that 10% of the US. residents are infected by sonne virus. Am edical test of 2% of the cases where e virus is not present. Suppose a test result comes out as positive. What is the probability that this virus is 95% accurate. But the test also yields false-positive results in the tester is actually infected by the virus?
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