Consider drawing a person at random from the residents of Yale and then giving them a test for COVID-19. Let A denote the event that the person selected is infected with the virus, and let B denote...

Consider drawing a person at random from the residents of Yale and then giving them a test for COVID-19.

Let A denote the event that the person selected is infected with the virus, and let B denote the event that they get a negative test.

Are these events independent? Mutually exclusive?