Suppose that a drug test has a 0.94 probability of successfully identifying a drug user, but has a 0.09 probability of reporting a false positive. A company drug tests it's employees and 12% of them test positive for drug use.
Let T denote "tests positive for drug use" and D denote "drug user."
The probability 0.94 above refers to?
The probability 0.09 above refers to?
The percentage 12% above refers to?
What is the probability a random employee of this company is a drug user?
Find:
P(T and Dc)=
P(Tc or Dc)=
Suppose that a drug test has a 0.94 probability of successfully identifying a drug user, but...
Medical screening tests are used to check for the presence on disease, evidence of illegal drug use, etc. The its sensitivity and its specificity. The sensitivity among those with the condition that will test positive. The specichy proportion among those without the condition that will test neg sensitivity of a test is defined to be the conditional ng those without the condition that will test negative. More formally, the test is defined to be the conditional probability that a person...
An athletic league does drug testing of its athletes, 10 percent of who use drugs. This test, however, is only 95% reliable. That is, a drug user will test positive with probability .95 and negative with probability .05, and a nonuser will test negative with probability 0.95 and positive with probability .05. Develop a probability tree diagram to determine the posterior probability of each of the following outcomes of testing an athlete. (a) The athlete is a drug user, given...
12. Suppose 500 athletes are tested for a drug, one in twenty has used the drug, the test has a 98% specificity and the test has a 100% sensitivity. That is, the probability of a false positive is 2% and there is no chance that the user of the drug will go undetected. Construct a tree diagram showing the probabilities associated with this problem. Write a probability on each branch (6 branches). Multiply the the probabilities along each path and...
12. Suppose 500 athletes are tested for a drug, one in twenty has used the drug, the test has a 98% specificity and the test has a 100% sensitivity. That is, the probability of a false positive is 2% and there is no chance that the user of the drug will go undetected. Construct a tree diagram showing the probabilities associated with this problem. Write a probability on each branch (6 branches). Multiply the the probabilities along each path and...
1. If a random employee is chosen, the probability of selecting an employee who tests positive or who uses drugs is 2. If two employees are selected without replacement of those who use drugs, the probability that the first person selected had a result test positive and the second person had a negative test result is 3. If two employees are selected with replacement for those who use drugs, the probability that the first person selected had a negative test...
1. If a random employee is chosen, the probability of selecting an employee who tests positive or who uses drugs is 2. If two employees are selected without replacement of those who use drugs, the probability that the first person selected had a result test positive and the second person had a negative test result is 3. If two employees are selected with replacement for those who use drugs, the probability that the first person selected had a negative test...
A steroid detection test is 93% effective at detecting steroid use, meaning that the probability of a user testing positive is 0.93. Unfortunately, it has a false positive rate of 9%, meaning the the probability of of a nonuser testing positive is 0.09. A large university estimates that about 12% of its athletes use steroids. The universitys quarterback tests positive for steroids, yet he claims he does not use them. What are the chances that he is telling the truth?
1. A certain drug test has a 10% false positive rate (a positive test even if the person has not used that drug) and a 15% false negative rate (a negative test despite the person using the drug). It is known that approximately95% of people do not use the drug being tested for. If 10,000 people are given the test, complete the table with the expected results and then answer the following questions. Test Results Positive Negative Total No Drug...
home / study / math / statistics and probability / statistics and probability questions and answers / let’s say that we work for the international olympic committee (ioc) as part of their fight ... Your question has been answered Let us know if you got a helpful answer. Rate this answer Question: Let’s say that we work for the International Olympic Committee (IOC) as part of their Fight Again... Let’s say that we work for the International Olympic Committee (IOC)...
help answer completly please
The President of a large company with 10,000 employees is considering mandatory cocaine testing for every employee. The test that would be used is 90% accurate, meaning that it will detect 90% of the cocaine users who are tested and that 90% of the nonusers will test negative. This also means that the test gives 10% false positive. Suppose that 1% of the employees actually use cocaine. Find the probability that someone who tests positive for...