Suppose that the prevalence of a disease in a population is 0.1%, that is, 1 out of 1000 people in the population have the disease. a diagnostic test for this disease indicates its presence 99% of the times when it is actually present and 2% of the times when it is not. what is the probability that a randomly selected person from the population does not have the disease if the above diagnosis indicates that he/she has it? comment on your answer.

Probability that person does not have disease when test is positive=0.9527

Step-by-step explanation:

Given,

Probability of a person having disease,

        = 0.001

Then,probability of a person not having disease,

        = 1 - 0.001

        = 0.999

Probability that the test shows positive when disease is present,

Then, probability that the test shows negative when disease is present,

            = 1 - 0.99

            = 0.01

Probability that test will positive when disease will not present,

             = 0.02

Then, probability that the test will be negative when disease will not present,

              = 0.98

Then, the probability that the test will be positive either the disease will present or not,

P(B) = P(B/A).P(A) + P(B/A').P(A')

       = 0.99 x 0.001 + 0.02 x 0.999

       = 0.02097

Then, the probability that person does not have disease when test is positive,

           = 0.9527

Hence,the probability that person does not have disease when test is positive = 0.9527

one fourth of 9% = 2.25%

gavin is correct in saying : the equivalent quarterly interest rate would be

2.25%.

let's first notice, the center of the hyperbola is at the origin, since the focus points are equidistantly 3 units away from the origin, that also means that the distance "c" from the center to either focus is 3.

it should also be notable that, the traverse axis for this hyperbola is vertical, or namely over the y-axis and therefore, the positive fraction will be the one with y-variable.

the traverse "a" component or distance from the center to either vertex is not 2, is more than 2, so we can safely put it at √5 ≈ 2.24.