The table summarizes the movie-watching preferences and ages of a group of 500 people in one community.


Movie Theater Streaming Service DVD
Under age 18 0.13 0.16 0.01
Age 18–40 0.17 0.17 0.06
Over Age 40 0.13 0.03 0.14


Part A: Determine P(movie theater | over age 40) and describe the event in everyday language. Show all work. (2 points)

Part B: Are the events prefers movie theater and being over age 40 approximately independent? Use probabilities to justify the answer. (2 points)