Additional Final Exam review problem Math 141

A company tested 600 people to see the effectiveness of their ads on the internet, on the radio and on TV. 180 people were shown the internet ad 150 of these bought the product. 120 listened to the radio ad and 50 of these bought the product. 300 viewed the TV ad and 200 of these bought the product. No one was shown more than one ad.

a) Make a tree diagram for this information.

b) According to the information is the event that someone buys the product independent of viewing any of the ads? If so, which one? Show why or why not.

c) Find the probability that someone in the 600 bought the product and listened to the radio ad.

d) Find the probability that someone in the study who bought the product viewed the internet ad.