Table of Contents
How do you find the probability of passing a test?
The probability of a person passing a test is calculated taking into account his performance in previous tests. For example, a person took 100 tests previously and passed in 98 of them. P(pass) now would be 98/100 (0.98).
What are the chances of getting 100\% on a test?
Not high, about one chance in 32 million (1 in 2^25, to be precise). But it is possible. If everyone in United States took this test, about 10 people would get perfect scores.
What is the probability that all 5 people will test negative?
Therefore, there is a 97.52\% that all 5 individuals will test negative for the HIV antibody when all 5 patients are indeed HIV-negative. What is the probability that the ELISA comes back positive for at least one of the five people?
What are the odds of getting a false positive test result?
There is a 2.48\% chance of at least one of the 5 individuals getting a false positive reading. This is an usual event (since the probability value is very low), as it should be, as false positive results can cause an individual undue emotional stress and result in additional (often extremely expensive) testing.
What is the unconditional probability of a positive test?
P (B) is the unconditional probability of a positive test; here it is 198/10,000 = 0.0198.. What we want to know is P (A | B), i.e., the probability of disease (A), given that the patient has a positive test (B). We know that prevalence of disease (the unconditional probability of disease) is 1\% or 0.01; this is represented by P (A).
What is the probability of a false positive on an ELISA?
The probability of a test coming back positive when the antibody is not present (known as a false positive) is 100\% – 99.5\% = 0.5\% = 0.005. Suppose the ELISA is given to 5 randomly selected people who do not have the HIV antibody. What is the probability that the ELISA comes back negative for all five people?