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Question 10: (10 marks) blood test is 95 percent effective in detecting a certain disease when it is, in fact, also...
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...
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) Suppose the probability of having a disease is .001, and a blood test is 100%...
3) Suppose the probability of having a disease is .001, and a blood test is 100% effective in detecting the disease when the person has the disease. However, the test yields a "false positive" for 1% of healthy persons tested. What is the probability a person has the disease given that his test result is positive? Is the answer approximately a).44 b).01 c).09 d).90
Probability questions. Answers are here but I don't know how to do the work so please...
Probability questions. Answers are here but I don't know how to
do the work so please provide all steps. Thank you!!
1. a) An insurance company believes that people can be divided into two classes: those who are accident prone and those who are not. The company's statistics show that an accident-prone person will have an accident at some time within a fixed 1-year period with probability .4, whereas this probability decreases to .2 for a person who is not...
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...
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?
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?...
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...
2. A rare disease affects 1% of the population. A test has a sensitivity of 98%,...
2. A rare disease affects 1% of the population. A test has a sensitivity of 98%, i.e., it will give a positive result 98% of the time that a person actually has the disease. The same test also has a specificity of 95%, i.e., it will give a negative result 95% of the time when a person does not have the disease. Denote the event that a randomly person has a disease by D, and the event that a randomly...
In screening for a certain disease, the probability that a healthy person wrongly gets a positive...
In screening for a certain disease, the probability that a healthy person wrongly gets a positive result is 0.05. The probability that a diseased person wrongly gets a negative result is 0.002. The overall rate of the disease in the population being screened is 1%. If my test gives a positive result, what is the probability I actually have the disease?
3) Suppose the probability of having a disease is .001, and a blood test is 100% effective in detecting the disease when the person has the disease. However, the test yields a "false positive" for 1% of healthy persons tested. What is the probability a person has the disease given that his test result is positive? Is the answer approximately a).44 b).01 c).09 d).90
Probability questions. Answers are here but I don't know how to
do the work so please provide all steps. Thank you!!
1. a) An insurance company believes that people can be divided into two classes: those who are accident prone and those who are not. The company's statistics show that an accident-prone person will have an accident at some time within a fixed 1-year period with probability .4, whereas this probability decreases to .2 for a person who is not...
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?
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?...
2. A rare disease affects 1% of the population. A test has a sensitivity of 98%, i.e., it will give a positive result 98% of the time that a person actually has the disease. The same test also has a specificity of 95%, i.e., it will give a negative result 95% of the time when a person does not have the disease. Denote the event that a randomly person has a disease by D, and the event that a randomly...
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