Question 3. Diagnostic and serology tests are crucial tools to fight the spread

of severe acute respiratory syndrome coronavirus such as Convid-19.

Unfortunately, tests are not 100% reliable you may test positive and not be sick

this is called a false positive; you may test negative when you are sick - this

is called a false negative.

We can formulate these types of problems in in terms of conditional

probabilities: For the following questions consider the following information

provided to us by the kit manufacturer