3. If a person is vaccinated properly, the probability of his/her getting a certain disease is 0.02. Without a
vaccination, the probability of getting the disease is 0.35. Assume that 45% of the population is
properly vaccinated.
Sick
0.02
0.35
vac
Not sick
0.43
no vac
0.20
Total
0.37
0.63
a. If a person is selected at random from the population, what is the probability of that person
being infected with the disease?

b. Given that the person has the disease, what is the probability that the person was vaccinated?