| P(tested positive)=P(has predisposition)*P(tested positive|has predisposition)+P(not has predisposition)*P(tested positive|not has predisposition) | |||||||||
| =0.03*0.99+0.97*(1-0.98)=0.0491 | |||||||||
| therefore P(has predisposition|tested positive)=P(has predisposition)*P(tested positive|has predisposition)/P(tested positive)=0.03*0.99/0.0491 =0.6049 | |||||||
A genetic test is use to determine if people have a disposition for thrombosis, which is...
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(12 points) A genetic test is used to determine if people have a pred formation of a blood clot inside a blood vessel that obstructs the flow of system. It is believed tha person actualy has the predisposition actually has the predisposition iso 99. Thetest is 98%accurate if a person doesn hich is the predisposition for thrombosis, w of blood through the circulatory urate ta predisposition. The genetic test is 99%acc , meaning that the probability of a...
Only 5 out of 1000 people get sick from a specific disease. A test for the disease is 99% accurate. This test also has a 2% false positive result (2% of the people that test positive are actually not sick with the disease). What is the probability that if you receive a positive test result, that you actually have the disease?
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...
Suppose a biotech company just produced a convenient test for Coronavirus that can be administered with a small droplet of blood from a person. The test can give results instantly. The test detects Coronavirus 98% of the time. But the test also gives a false positive 1% of the time. CDC knows that 4% of people have Coronavirus infection. What is the probability that the test correctly identifies someone as negative if the person actually does not have infection? A.)...
Suppose next that we have even less knowledge of our patient, and we are only given the accuracy of the blood test and prevalence of the disease in our population. We are told that the blood test is 98 percent reliable, this means that the test will yield an accurate positive result in 98% of the cases where the disease is actually present. Gestational diabetes affects 9 percent of the population in our patient’s age group, and that our test...
The proportion of people in a given community who have a certain disease is 0.005. A test is available to diagnose the disease. If a person has the disease, the probability that the test will produce a positive signal is 0.99. If a person does not have the disease, the probability that the test will produce a positive signal is 0.01 a. If a person tests positive, what is the probability that the person has the disease? b. If a...
Suppose next that we have even less knowledge of our patient, and we are only given the accuracy of the blood test and prevalence of the disease in our population. We are told that the blood test is 98 percent reliable, this means that the test will yield an accurate positive result in 98% of the cases where the disease is actually present. Gestational diabetes affects 9 percent of the population in our patient’s age group, and that our test...
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...
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
Conditional probability
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2. Tay-Sachs disease is a genetic disorder caused by a mutation on chromosome 15 that is believed to occur in roughly 1 in 320000 babies in the U.S. As part of a cutting-edge genomics company, you've designed a new test for Tay-Sachs that is 99.2% accurate (ie, gives a positive result) in those babies that have the disorder, and 97% accurate (i.e. gives a negative result) in babies that don't have the disorder. Suppose...