Question

Conditional Probabilities:A tine test is a common method to determine if a person hasbeen exposed to tuberculosis. Approximately 4% of people in the US have been exposed. Using the tine test, 92.5% of people who have been exposed test positive, and 98% of those not exposed test negative. For a random individual:.a.What is the probability that the person tests positive andhas been exposed to tuberculosis

Answer 1

The answer is "0.037"

Explanation:

Given:

`P(TB)=0.04\\\\P( \text{true positive})=92.5 \% = (92.5)/(100) = 0.925\\\\P \text{(true negative)}=98 \%= (98)/(100)=0.98 \\\\P\text{(positive and TB)}=0.04 * 0.925= 0.037 \\\\`