Question

(03.02 MC) Some researchers claim there is an association between getting a tattoo and contracting hepatitis C. They took a random sample of people living in Los Angeles, California, and recorded whether they had a tattoo and whether they were infected with hepatitis C. The results are shown in the following two-way table: Has Hepatitis C Does Not Have Hepatitis C Does not have a tattoo 5 50 Has one tattoo 10 210 Has more than one tattoo 15 150 If a person is chosen at random, what is the probability that he or she has hepatitis C, given that he or she has one tattoo? (2 points) Select one: a. 0.045 b. 0.333 c. 0.05 d. 0.50

Answer 1

The probability that a person has hepatitis C, given that they have one tattoo, is 0.045.

Step-by-step explanation:

To find the probability that a person has hepatitis C, given that they have one tattoo, we need to use the information from the two-way table. From the table, we can see that out of the people with one tattoo, 10 have hepatitis C and 210 do not have hepatitis C. Therefore, the total number of people with one tattoo is 10 + 210 = 220.

Next, we need to find the probability that a person has hepatitis C and has one tattoo. This is given by the number of people with one tattoo and hepatitis C (10) divided by the total number of people with one tattoo (220). So, the probability is 10/220 = 0.045.

Therefore, the probability that a person has hepatitis C, given that they have one tattoo, is 0.045.