A medical test has a 95% accuracy of detecting a Condition Z if the person has it. It also has a 97% chance to indicate
that the person does not have the condition if they really don't have it. If the incidence rate of this disease is 10 out of
every 100:
What is the probability that a person chosen at random will both test positive and actually have the disease (i. e., get a
true positive)?
What is the probability that a person chosen at random will test positive but not have the disease (i. e., get a false
positive)?