it is estimated that 40% of all sharks have a particular disease. Suppose a test for the disease has been developed - it has a false positive rate of 10% and a false negative rate of 5%.
i) calculate the probability that a randomly selected shark will test positive for the disease.
ii) if a shark tests positive for the disease, what is the probability that the shark actually has the disease?
it is estimated that 40% of all sharks have a particular disease. Suppose a test for...
It is estimated that 1% of all people have a particular disease. The test for this disease has a false positive rate of 2%, and a false negative rate of 3%. 1. Draw a tree diagram for this experiment. 2. Suppose that a person is selected at random and tested. Given that the test is negative, what is probability that the person does not have the disease?
A disease affects 16% of the population. There is a test (not perfect) that detects disease with a probability of 98% (i.e comes back positive when the person has the disease). However, the test produces 5% false positives, i.e comes back positive even though the person does not have the disease. i) A person who has the disease is tested, what is the probability that the test will come back negative. ii) What is the probability that a randomly selected...
[Base Rate Fallacy] Suppose a particular disease has a prevalence of 0.5 % people. A medical test to detect this disease has a false-positive rate of 5 % and diagnoses correctly every person who has the disease. What is the probability that a randomly selected person found to have a positive result actually has the disease? Give your answer to three decimal places.
One percent of all individuals in a certain population are carriers of a particular disease. A diagnostic test for this disease has a 95% detection rate for carriers and a 4% detection rate for non-carriers. Suppose the test for this is applied independently to two different blood samples from the same randomly selected individual. Hint: Use Notation A= {no disease} A'={disease} B1= {1st test positive} B2={2nd test positive} a) What is the probability that the first test is positive? b)...
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?
3. One half percent of the population has a particular disease. A test is developed for the disease. The test gives a false positive 3% of the time and a false negative 2% of the time. a. [7] What is the probability that Joe (a random person) tests positive? b. [6] Joe just got the bad news that the test came back positive; what is the probability that Joe has the disease?
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...
Problem 1 [Sans R (a). Say a test can detect a disease with a type I error rate (false positive) of 10 % and a type II error rate (missed positive) of 0.1 %. If a person is randomly chosen from the population, the chance of having this disease is 0.1 %. If a random person is chosen from the population and tests positive for this disease, what is the probability they have this disease? (b). Say a test can...
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...
10. A particular disease has an incidence rate of 1 in 1000 adults. A test shows a positiveresult of 99% of the time when an individual has the disease and a positive result 4% of the time when an individual is healthy. For a randomly selected adult, what is the probability of a negative result?