Your team gets hired to add rooftop solar panels to homes in a Tokyo suburb, at the height of the COVID-19 pandemic. To keep your team and the community you are working in safe, your team masks, gets vaccinated, and regularly takes COVID tests.
Suppose that 8.5% of local residents are infected with COVID-19.
Also, suppose that a COVID-19 antigen test will correctly flag as ‘positive’ 94% of people who actively have COVID-19.
However, like all other diagnostic tests, 2% of residents who do not have COVID-19 will also test positive.
(2 points) Please calculate the probability that an employee who tests positive for COVID-19 actually has COVID.