A diagnostic test for a certain disease is said to be 95% accurate in that, if...
A diagnostic test for a certain disease is said to be 95% accurate in that, if a person has the disease, the test will detect it with probability 0.95. Also, if a person does not have the disease, the test will report that he or she does not have it with probability 0.99. Only 1% of the population has the disease in question. If a person is chosen at random from the population and the diagnostic test indicates that she has the disease, what is the conditional probability that she does, in fact, have the disease?
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A diagnostic test for a certain disease is said to be 95%
accurate in that, if...
A diagnostic test for a disease is such that it (correctly) detects the disease in 90%...
A diagnostic test for a disease is such that it (correctly) detects the disease in 90% of the individuals who actually have the disease. Also, if a person does not have the disease, the test will report that he or she does not have it with probability .9. Only 1% of the population has the disease in question. If a person is chosen at random from the population and the diagnostic test indicates that she has the disease, what is...
a. The width of bolts of fabric are normally distributed with a mean of 950 millimetres...
a. The width of bolts of fabric are normally distributed with a mean of 950 millimetres and a standard deviation of 10 millimetres. What is the probability that a randomly chosen bolt has a width between 947 and 958 millimetres? (3 marks) ii. What is the appropriate value for such that a randomly chosen bolt has a width less than C with probability 0.8531? (3 marks) b. A certain diagnostic test for a certain disease is said to be 90%...
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...
It has been found that 0.01% of the world population has a certain disease. If a...
It has been found that 0.01% of the world population has a certain disease. If a person has the disease, there is a 95% chance they will test positive for the disease. If a person does not have the disease, there is a 5% chance they will test positive for the disease. (a) What is the probability that a person chosen at random will both have the disease and test positive? 0.000095 (or 9.5 x 10-5) (b) What is the...
Need details please. Thanks for helping me out ! positive result give that a person 14.A diagnostic test has a probabil...
Need details please. Thanks for helping me out !
positive result give that a person 14.A diagnostic test has a probability of 0.90 of giving a suffering from a certain disease, and a probability of 0.15 of give a (false) positive give that the patient is a non-sufferer. It is estimated that 1% of the population are sufferers of this particular disease. Suppose that the test is now administered to a person about whom we have no relevant information relating...
4. For a diagnostic test of a certain disease, let T1 denote the probability that the...
4. For a diagnostic test of a certain disease, let T1 denote the probability that the diagnosis is positive given that a subject has the disease, and let T2 denote the probability that the diagnosis is positive given that a subject does not have it. Let p denote the probability that a subject has the disease. (a) More relevant to a patient who has received a positive diagnosis is the probability that they truly have the disease. Given that a...
Refer to the table which summarizes the results of testing for a certain disease Positive Test...
Refer to the table which summarizes the results of testing for a certain disease Positive Test Negative Result Test Result 89 28 Subject has the disease Subject does not have the disease 158 If one of the results is randomly selected, what is the probability that it is a false positive (test indicates the person has the disease when in fact they don't)? Round the probability to three decimal places. What does this probability suggest about the accuracy of the...
9) Suppose that a laboratory test to detect a certain disease has the following statistics. Let...
9) Suppose that a laboratory test to detect a certain disease has the following statistics. Let A- event that the tested person has the disease B-event that the test result is positive It is known that P(BIA) 0.99 and P(BIA) 0.005 and 0.1% of the population actually has the disease, what is the probability that a person has the disease given that the test result is positive?
For a particular disease, the probability of having the disease in a particular population is 0.04....
For a particular disease, the probability of having the disease in a particular population is 0.04. If someone from the population has the disease, the probability that she/he tests positive of this disease is 0.95. If this person does not have the disease, the probability that she/he tests positive is 0.01. What is the probability that a randomly selected person from the population has a positive test result?
a. The width of bolts of fabric are normally distributed with a mean of 950 millimetres and a standard deviation of 10 millimetres. What is the probability that a randomly chosen bolt has a width between 947 and 958 millimetres? (3 marks) ii. What is the appropriate value for such that a randomly chosen bolt has a width less than C with probability 0.8531? (3 marks) b. A certain diagnostic test for a certain disease is said to be 90%...
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 has been found that 0.01% of the world population has a certain disease. If a person has the disease, there is a 95% chance they will test positive for the disease. If a person does not have the disease, there is a 5% chance they will test positive for the disease. (a) What is the probability that a person chosen at random will both have the disease and test positive? 0.000095 (or 9.5 x 10-5) (b) What is the...
Need details please. Thanks for helping me out !
positive result give that a person 14.A diagnostic test has a probability of 0.90 of giving a suffering from a certain disease, and a probability of 0.15 of give a (false) positive give that the patient is a non-sufferer. It is estimated that 1% of the population are sufferers of this particular disease. Suppose that the test is now administered to a person about whom we have no relevant information relating...
4. For a diagnostic test of a certain disease, let T1 denote the probability that the diagnosis is positive given that a subject has the disease, and let T2 denote the probability that the diagnosis is positive given that a subject does not have it. Let p denote the probability that a subject has the disease. (a) More relevant to a patient who has received a positive diagnosis is the probability that they truly have the disease. Given that a...
Refer to the table which summarizes the results of testing for a certain disease Positive Test Negative Result Test Result 89 28 Subject has the disease Subject does not have the disease 158 If one of the results is randomly selected, what is the probability that it is a false positive (test indicates the person has the disease when in fact they don't)? Round the probability to three decimal places. What does this probability suggest about the accuracy of the...
9) Suppose that a laboratory test to detect a certain disease has the following statistics. Let A- event that the tested person has the disease B-event that the test result is positive It is known that P(BIA) 0.99 and P(BIA) 0.005 and 0.1% of the population actually has the disease, what is the probability that a person has the disease given that the test result is positive?
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