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 result is positive for the person, then the probability that this person is healthy is __________
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It’s known that 2 % of people in a certain population have the
disease. A blood...
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...
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...
3) A certain blood test for a disease gives a positive result 90% of the time...
3) A certain blood test for a disease gives a positive result 90% of the time among patients having the disease. It also gives a positive result 25% of the time among people who do not have the disease. It is believed that 30% of the population has this disease a) What is the probability that a person with a positive test result indeed has the disease? b) What is the probability that the blood test gives a negative result?...
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
It is known that 2.6% of the population has a certain disease. A new test is...
It is known that 2.6% of the population has a certain disease. A new test is developed to screen for the disease. A study has shown that the test returns a positive result for 18% of all individuals, and returns a positive result for 92% of individuals who do have the disease. If a person tests positively for the disease under this test, what is the probability that they actually have the disease? 0.1276 0.1329 0.1435 0.1223 O 0.1382
A medical test is not completely accurate. When people who have a certain disease are tested,...
A medical test is not completely accurate. When people who have a certain disease are tested, 90% of them have a "positive" reaction. But 5% of people without the disease also have a "positive" reaction. In a certain city, 20% of the population have the disease. A person from this city is chosen at random and tested; if the reaction is "positive," what is the probability the person has the disease
Consider a small town that has a population of 1,000 people. It is known that in...
Consider a small town that has a population of 1,000 people. It is known that in this town, 10 people are infected with a rare disease. The remaining 990 people are NOT infected with the disease. This data is known with certainty. Recently, The FDA (Food and Drug administration) developed a test that determines if a person is infected with this disease. However, as with most test of this nature, it is not foolproof proof as there are a certain...
A medical test has been designed to detect the presence of a certain disease. Among people...
A medical test has been designed to detect the presence of a certain disease. Among people who have the disease, the probability that the disease will be detected by the test is 0.94. However, the probability that the test will erroneously indicate the presence of the disease in those who do not actually have it is 0.05. It is estimated that 6% of the population who take this test have the disease. (Round your answers to three decimal places.) (a)...
To determine whether or not they have a certain disease, 80 people are to have their...
To determine whether or not they have a certain disease, 80 people are to have their blood tested. However, rather than testing each individual separately, it has been decided first to group the people in groups of 10. The blood samples of the 10 people in each group will be pooled and analyzed together. If the test is negative. one test will suffice for the 10 people (we are assuming that the pooled test will be positive if and only...
1) Suppose it is known that 4.09% of the population suffers from a particular disease. A...
1) Suppose it is known that 4.09% of the population suffers from a particular disease. A blood test has a 87.8% chance of identifying the disease for diseased individuals, but also has a 11.03% chance of falsely indicating that a healthy person has the disease. If your blood test is positive, what is the chance that you have the disease? Round your answer to the nearest hundredth. 2) A ball is chosen at random from a bag containing 205 balls...
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) A certain blood test for a disease gives a positive result 90% of the time among patients having the disease. It also gives a positive result 25% of the time among people who do not have the disease. It is believed that 30% of the population has this disease a) What is the probability that a person with a positive test result indeed has the disease? b) What is the probability that the blood test gives a negative result?...
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
It is known that 2.6% of the population has a certain disease. A new test is developed to screen for the disease. A study has shown that the test returns a positive result for 18% of all individuals, and returns a positive result for 92% of individuals who do have the disease. If a person tests positively for the disease under this test, what is the probability that they actually have the disease? 0.1276 0.1329 0.1435 0.1223 O 0.1382
Consider a small town that has a population of 1,000 people. It is known that in this town, 10 people are infected with a rare disease. The remaining 990 people are NOT infected with the disease. This data is known with certainty. Recently, The FDA (Food and Drug administration) developed a test that determines if a person is infected with this disease. However, as with most test of this nature, it is not foolproof proof as there are a certain...
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