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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

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Answer:

The answer is "0.037"

Step-by-step explanation:

Given:

[tex]P(TB)=0.04\\\\P( \text{true positive})=92.5 \% = \frac{92.5}{100} = 0.925\\\\P \text{(true negative)}=98 \%= \frac{98}{100}=0.98 \\\\P\text{(positive and TB)}=0.04 \times 0.925= 0.037 \\\\[/tex]

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