All numerical answers should be accurate to two decimal places (nearest hundredth); however, probabilities should be reported to four decimal places, if applicable.

-Do not forget units where applicable.

A study concluded that among people infected with Cytomegalovirus (CMV), 98.1% of tests were correctly positive, while for people not infected with the virus, 97.6% of the tests were correctly negative. We also know that 20% of people carry the virus.

a) What is the probability that a randomly selected person tests negative for CMV?

b) What is the probability that a randomly selected person testing negative for CMV is truly CMV free?