Question

It is known that only 1% of U.S citizens living on East Coast will be exposed to Lyme disease. There is a blood test they can detect lyme disease, unfortunately, it's not a perfect taste. 95% of those exposed lenses will test positive using this blood test. 2% of those not expose a lot of these will also test positive.what is the probability that a random selected US citizen living on the east clothes will be exposed to lyme disease and test positive?Answer Choices: 0.00050.00950.01980.9702

Answer 1

We need to find the probability that a randomly selected US citizen living on the East Cost will be exposed to Lyme disease and test positive.

We know that 1% of U.S citizens living on the East Coast will be exposed to Lyme disease. And only 95% of them will test positive.

Thus, the probability that this person will be exposed to Lyme disease and test positive is given by:

$95\%\cdot1\%=\frac{95}{100}\cdot\frac{1}{100}=\frac{95}{10000}=0.0095$

Answer: 0.0095