Suppose a rare disease occurs in about 1 out of 1,000 people who are like you. A test for the disease has sensitivity of 92% and specificity of 87%. Using the technique described in this chapter, compute the probability (as a %) that you actually have the disease, given that your test results are positive. (Round your answer to two decimal places.)

The probability that a randomly selected person has the disease given that the test results were positive is 0.01.

Step-by-step explanation:

Denote the events as follows:

D =  a person has the disease.

P = a person's test result is positive.

N = a person's test result is negative.

The information provided is:

Consider the tree diagram below.

The probability that a randomly selected person has the disease given that the test results were positive is:

Compute the value of P (D|P) as follows:

Thus, the probability that a randomly selected person has the disease given that the test results were positive is 0.01.

a

step-by-step explanation:

a