1. In August 2021, unhoused individuals in the San Fernando Valley in Los Angeles County were surveyed regarding their COVID-19 vaccination status. At this point in time, "vaccinated" refers to anyone who answers "yes" to the question "have you received at least one shot of the COVID-19 vaccine?" This data is currently being used to guide health equity and outreach efforts for the region. The data for this question comes from surveys conducted in the 91343 zip code. Among the individuals surveyed, 27% were vaccinated and living in transitional housing, whereas 30% were unvaccinated and were not in transitional housing (i.e. living on the street, in their car, couch surfing, etc). Overall, 51% were vaccinated. Is the probability of an individual living in transitional housing independent of the probability of an individual having been vaccinated? Why or why not?

1. Yes because P(living in transitional housing) * P(vaccinated) = P(vaccinated and living in transitional housing)
2. Yes because P(living in transitional housing) * P(vaccinated) = 0.01
3. No because P(living in transitional housing) * P(vaccinated) P(vaccinated and living in transitional housing)
4. No because P(living in transitional housing) * P(vaccinated) 0.01
5. Cannot be determined from the given information.