Suppose that two-person in 3000 has Covid-19 disease for which there is a fairly accurate diagnostic test. This test is correct 92% of the time when given to Covid-19 affected person. It is correct 90% of the time when given to not Covid-19 affected person.

i) Find the probability that someone who tests positive for the disease has the disease.
ii) Find the probability that someone who tests negative for the disease does not have the disease.