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(4) A study indicates that 10% of the US. residents are infected by sonne virus. Am...
(11) *A study indicates that 10% of the US. residents are infected by some virus. A...
(11) *A study indicates that 10% of the US. residents are infected by some virus. A medical test of this virus is 95% accurate (ie, when someone has the virus, the test is positive 95% of the time). But the test also yields false-positive results in 2% of the cases where the virus is not prNnt. Suppose a test result comes out as positive. What is the probability that the tester is actually infected by the virus? Hint: Let P(V)-the...
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.
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 estinated that 2% of the members of a certain population are infected with...
3. It is estinated 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. Find the probability that a random person who has a positive result of the diagnostic test, actually has Hepatitis C. (b)
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...
There are 550,000 people in the US infected with HIV. Of these people, 275,000 are drug...
There are 550,000 people in the US infected with HIV. Of these people, 275,000 are drug users, and the rest are not drug users. The total population of the US is 250 million. There are 10 million drug users in the US. The standard blood test for HIV infection is not always accurate. The probability that someone who is infected with HIV will test positive for HIV is 0.99. The probability that someone who is not infected with HIV will...
A terrible new virus has been discovered amongst beef-cattle in Southern Alberta. It is estimated that ...
A terrible new virus has been discovered amongst beef-cattle in Southern Alberta. It is estimated that 6% of all beef-cattle are infected with this virus. A team of veterinarians have developed a simple test. Indications are that this test will show a positive result - indicating the beef-cow being tested has the virus - with a probability of 0.95. Unfortunately, this test has a false-positive probability of 0.09. (a) A beef-cow in Southern Alberta was randomly chosen and given this...
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...
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...
Hi, my answers seemed strange after using Bayes theorem, so I am unsure if I made the right calcu...
hi, my answers seemed strange after using Bayes theorem, so I am
unsure if I made the right calculations. Please show your work so I
can catch my error :)
Extra Credit: ELISA tests are used to screen donated blood for the presence of the AIDS virus. The test actually detects antibodies, substances that the body produces when the virus is present. When antibodies are present, ELISA is positive with probability about 0.997 and negative with probability about 0.003. When...
(11) *A study indicates that 10% of the US. residents are infected by some virus. A medical test of this virus is 95% accurate (ie, when someone has the virus, the test is positive 95% of the time). But the test also yields false-positive results in 2% of the cases where the virus is not prNnt. Suppose a test result comes out as positive. What is the probability that the tester is actually infected by the virus? Hint: Let P(V)-the...
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.
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 estinated 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. Find the probability that a random person who has a positive result of the diagnostic test, actually has Hepatitis C. (b)
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...
hi, my answers seemed strange after using Bayes theorem, so I am
unsure if I made the right calculations. Please show your work so I
can catch my error :)
Extra Credit: ELISA tests are used to screen donated blood for the presence of the AIDS virus. The test actually detects antibodies, substances that the body produces when the virus is present. When antibodies are present, ELISA is positive with probability about 0.997 and negative with probability about 0.003. When...
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