The data represent the results for a test for a certain disease. Assume one individual from the group is randomly selected. Find the probability of getting someone who tests positivepositive, given that he or she hadhad the disease.

The probability of getting someone who tests positive, given that he or she had the disease is 0.8954.

Step-by-step explanation:

The data provided is:

                  YES        NO    Total

Positive      137           8      145

Negative     16          139    155

Total            153         147    300

An individual is selected at random from the group.

We need to compute the probability of getting someone who tests positive, given that he or she had the disease.

The conditional probability of an event A given that another event B has already occurred is:

Let A = individuals who tests positive and B = individual who had the disease.

The number of individuals who tests positive and had the disease is,

n (A ∩ B) = 137

n (B) = 153

Compute the conditional probability of A given B as follows:

Thus, the probability of getting someone who tests positive, given that he or she had the disease is 0.8954.