Problem 3: (10 points)
The table shown below shows the results of a survey in which 28,295 adults were asked whether they
had a cold or the flu on the previous day. A person is selected at random from the sample. (Write
complete sentences)
Colds Flu Neither Total
Smoker 526 153 4,980 5,659
Nonsmoker 1,494 430 20,712 22,636
Total 2,020 583 25,692 28,295
a) Find the probability that the person is a smoker, given that person had the flu. (5 pt)
The probability that the person is a smoker, given that person had the flu is
b) Find the probability that the person had the flu or is a nonsmoker. (5 points)
The probability that the person had the flu or is a nonsmoker is